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Recent questions tagged limits


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Given \[ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \] Which of the following is equivalent to \(y\) ?
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Given \[ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \] Which of the following is equivalent to \(y\) ?Given \ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \ Which of the following is equivalent to \(y\) ? \begin{align} \begin{array}{|l|l|} \hline \text { A } &amp ...
by MathsGee Platinum
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asked in Mathematics Jan 15
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Which of the following calculations is wrong?
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Which of the following calculations is wrong?Which of the following calculations is wrong?   A. $\lim _{x \rightarrow \infty} \dfrac{e^{x}}{x}=\lim _{x \rightarrow \infty} \dfrac{e^{x}}{1} ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$
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Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$   A. $-1$ B. $-\frac{1}{2}$ C. 0 D. $\quad 1$ E. 2 ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$
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Is algebra easier than calculus?
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Is algebra easier than calculus?Is algebra easier than calculus? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)
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Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)Evaluate \\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\ ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics Jan 11
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Proof: \(\frac{n^{2}+5}{n+1} \rightarrow \infty\) as \(n \rightarrow \infty\)
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What are confidence limits in statistics?
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What are confidence limits in statistics?What are confidence limits in statistics? ...
by MathsGee Platinum
(104,076 points)
asked in Data Science & Statistics Oct 16, 2021
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One possible integrating factor for the following linear differential equation is \[ X \frac{d Y}{d X}+(X+1) Y=3 X^{2} e^{-X} \]
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What is the value of \( \int _ { - \infty } ^ { \infty } | \Psi ( x , t ) | ^ { 2 } d x \)?
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If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).
1 answer 52 views
If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).(a) If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\). (b) \(P(x, y)\) divides the line joining \((7,-5)\) and \((-2,7) ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).
1 answer 41 views
Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\). A. \(2\left(x^{2}-1\right)\) B. \(2 x^{2}+4 x-1\) C. \(2 x^{ ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6
1 answer 37 views
Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6 A. \((4,1)\) B. \((4,-2)\) C. \((1,4)\) D. \((1,-2)\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).
1 answer 46 views
Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).Given that \(\dfrac{6 x+m}{2 x^{2}+7 x-15} \equiv \dfrac{4}{x+5}-\dfrac{2}{2 x-3}\), find the value of \(m\). A. 20 B. 12 C. \(-10\) D. \(-22\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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How do you evaluate a logarithm?
1 answer 32 views
How do you evaluate a logarithm?How do you evaluate a logarithm? ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 6, 2021
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Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\frac{1}{2}\right)^{x}\).
1 answer 21 views
Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\frac{1}{2}\right)^{x}\).Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\dfrac{1}{2}\right)^{x}\). ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 31, 2021
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SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$
1 answer 33 views
SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$ ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Aug 28, 2021
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Solve the given differential equation $$ y^{\prime}-y \tan (x)=8 \sin ^{3}(x) $$
1 answer 24 views
Solve the given differential equation $$ y^{\prime}-y \tan (x)=8 \sin ^{3}(x) $$Solve the given differential equation $$ y^{\prime}-y \tan (x)=8 \sin ^{3}(x) $$ ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Aug 27, 2021
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If $\mathrm{R}=\frac{(S+T) P}{3}$ then $T$ equals
1 answer 38 views
If $\mathrm{R}=\frac{(S+T) P}{3}$ then $T$ equalsIf $\mathrm{R}=\dfrac{(S+T) P}{3}$ then $T$ equals A: $\dfrac{3 R-S}{P}$ B: $\dfrac{P R}{3}-S$ C: $\dfrac{3 R}{P}+S$ D: $\dfrac{3 R+S}{P}$ E: $\d ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 27, 2021
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Show that the solution of the above differential equation is $$ y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x . $$
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Show that the solution of the above differential equation is $$ y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x . $$$$ \frac{d y}{d x}+y \tan x=\mathrm{e}^{2 x} \cos x, y(0)=2 \text {. } $$ Show that the solution of the above differential equation is $$ y=\frac{1}{2 ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 22, 2021
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Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.
1 answer 24 views
Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$. ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{5}+5 x^{2}$.
1 answer 35 views
Find the derivative of $f(x)=x^{5}+5 x^{2}$.Find the derivative of $f(x)=x^{5}+5 x^{2}$. ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{3}$.
1 answer 37 views
Find the derivative of $f(x)=x^{3}$.Find the derivative of $f(x)=x^{3}$. ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Aug 14, 2021
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