menu

Recent questions tagged infinite


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which of the following statements is NOT TRUE?
0 answers 6 views
Which of the following statements is NOT TRUE?Which of the following statements is NOT TRUE?   (A) $\int_{0}^{3} \frac{1}{(x-4)^{2}} d x=\frac{3}{4}$. (B) $\int_{0}^{3} \frac{1}{(x-4)^{2}} ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?
0 answers 7 views
Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?   (A) The series is not conditiona ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let $g(x, y)=x^{2} y+\cos y+y \sin x$, Which of the following statements is TRUE?
0 answers 5 views
Let $g(x, y)=x^{2} y+\cos y+y \sin x$, Which of the following statements is TRUE?Let $g(x, y)=x^{2} y+\cos y+y \sin x$ Which of the following statements is TRUE?   (A) $g_{x}=2 x y+\cos y+y \cos x$. (B) $g_{y}=2 x-\sin y+\s ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the telescoping series $\sum_{r=1}^{\infty}\left(\dfrac{1}{r+2}-\frac{2}{r+1}+\dfrac{1}{r}\right)$.
0 answers 7 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Show that the series $\sum_{r=1}^{\infty}\left(\dfrac{1}{r+2}-\frac{2}{r+1}+\dfrac{1}{r}\right)$ converges and find its sum.
0 answers 6 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine whether the following series converge or diverge. $\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$
0 answers 5 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine whether the following series converge or diverge. $\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Given that $\dfrac{1}{1-x}=1+x+x^{2}+x^{3}+\cdots=\sum_{n=0}^{\infty} x^{n}$. Write down the power series of $\dfrac{1}{1+x^{2}}$

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ is
0 answers 5 views
The interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ isThe interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ is   A. $\quad(-3,-1$   B. $-3,-1$ &nbs ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which FIVE of the following statements are TRUE?
0 answers 3 views
Which FIVE of the following statements are TRUE?Which FIVE of the following statements are TRUE?   A. The series $\sum_{n=1}^{\infty}\left(\frac{4 n-3}{3 n-4}\right)^{n}$ converges   B ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
If the power series of $f$ at $a$ is given by $$ f(x)=\sum_{n=0}^{\infty} c_{n}(x-a)^{n} $$ for $|x-a|<R$, then
0 answers 6 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine whether the series $\sum_{n \geq 1} \dfrac{1}{\sqrt{n^{3}}}$ converges or diverges. Give a reason for your answer. 

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find the sum of the series $\sum_{n \geq 2} \frac{2}{n^{2}-1}$
0 answers 6 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Prove that if the series $\sum_{n=1}^{\infty} a_{n}$ converges, then $\lim _{n \rightarrow \infty} a_{n}=0$
0 answers 2 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which of the following statements is incorrect?
0 answers 4 views
Which of the following statements is incorrect?Which of the following statements is incorrect? &nbsp; A. If $c \neq 0$ and $\left(a_{n}\right)$ converges, then $\left(c a_{n}\right)$ converges. ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The series $$ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $$
0 answers 3 views
The series $$ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $$The series $$ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $$ A. is a convergent geometric series with $\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1} ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Prove that if the series $\sum_{n=1}^{\infty} a_{n}$ converges, then $\lim _{n \rightarrow \infty} a_{n}=0$.
0 answers 6 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Decide (with reasons) if the following series converge or diverge. $\sum_{n=1}^{\infty}(-1)^{n} \frac{5-n+3 n^{2}}{7 n^{2}-19}$
0 answers 7 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}\left(\frac{5-n+3 n^{2}}{7 n^{2}-19}\right)^{n}$

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The series $ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $
0 answers 6 views
The series $ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $The series $$ \sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}} $$ A. is a convergent geometric series with $\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1} ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Using the geometric series $\frac{1}{1-x}=1+x+x^{2}+x^{3}+\ldots$, it follows that $\frac{1}{1+x^{3}}$ has the power series expansion
0 answers 5 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine if the following series converge $\sum_{n=1}^{\infty} 3^{3 n} 7^{2-n}$
0 answers 5 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine if the following series converge $\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}$
0 answers 6 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Show that the series $ \sum_{n=2}^{\infty} \dfrac{2}{n(n+1)}$ converges and find its limit.
0 answers 10 views
close

Join the MathsGee Homework Help Q&A club where you get study support for success from our verified experts. Subscribe for only R100 per month or R960 per year.


On the MathsGee Homework Help Q&A learning community, you can:


  1. Ask questions
  2. Answer questions
  3. Comment on Answers
  4. Vote on Questions and Answers
  5. Donate to your favourite users
  6. Create/Take Live Video Lessons

Posting on the MathsGee Homework Help Q&A learning community


  1. Remember the human
  2. Behave like you would in real life
  3. Look for the original source of content
  4. Search for duplicates before posting
  5. Read the community's rules

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Management Leadership | MathsGee ZOOM | eBook | H5P