Join the MathsGee Study Questions & Answers Club and get expert verified answers.
First time here? Checkout the FAQs!
x

*Math Image Search only works best with SINGLE, zoomed in, well cropped images of math. No selfies and diagrams please :)

Solve $\lim _{x \rightarrow \pi / 4} \dfrac{\sqrt{2} \cos x-1}{\cot x-1}$

MathsGee Q&A Android App
0 like 0 dislike
133 views
Solve $\lim _{x \rightarrow \pi / 4} \dfrac{\sqrt{2} \cos x-1}{\cot x-1}$
in Mathematics by ♦ Platinum (124,212 points) | 133 views

1 Answer

0 like 0 dislike
Best answer
$\lim _{x \rightarrow \pi / 4} \dfrac{(\sqrt{2}-\sec x) \cos x(1+\cot x)}{\cot x\left[2-\sec ^{2} x\right]}$

$=\lim _{x \rightarrow \pi / 4} \dfrac{\sin x(1+\cot x)}{(\sqrt{2}+\sec x)}$

$=\frac{\dfrac{1}{\sqrt{2}}(2)}{\sqrt{2}+\sqrt{2}}$

$=\dfrac{1}{2}$
by ♦ Platinum (124,212 points)
Login to remove ads!

Related questions

Login to remove ads!

0 like 0 dislike
1 answer
$\lim _{x \rightarrow \pi / 2}(\sec \theta-\tan \theta)=$
asked Aug 7, 2021 in Mathematics by ♦MathsGee Platinum (124,212 points) | 146 views
0 like 0 dislike
1 answer
Solve $\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$
asked Aug 7, 2021 in Mathematics by ♦MathsGee Platinum (124,212 points) | 103 views
1 like 0 dislike
1 answer
Evaluate $\lim _{x \rightarrow 1}\left(\frac{y-4 \sqrt{y}+3}{y^{2}-1}\right)$
asked May 10, 2021 in Mathematics by ♦Pieter Diamond (43,113 points) | 226 views
0 like 0 dislike
1 answer
Find $$ \lim _{x \rightarrow 0} \frac{\sqrt{1+x}+(1+x)^{7}-2}{x} . $$
asked May 10, 2021 in Mathematics by ♦MathsGee Platinum (124,212 points) | 139 views
1 like 0 dislike
1 answer
Evaluate $\lim _{x \rightarrow 10} \sqrt{-x^{2}+20 x-100}$
asked May 10, 2021 in Mathematics by Student SIlver Status (10,994 points) | 185 views
1 like 0 dislike
0 answers
Evaluate $\lim _{x \rightarrow-4} \frac{x^{2}-16}{x+4} \ln |x|$
asked May 10, 2021 in Mathematics by Student SIlver Status (10,994 points) | 170 views
2 like 0 dislike
1 answer
Find the limit $\lim _{x \rightarrow \infty} \frac{3 x+1}{|x|+2}$
asked Jun 20, 2021 in Mathematics by Maths Genie Bronze Status (5,592 points) | 166 views
1 like 0 dislike
1 answer
Find the limit $\lim _{x \rightarrow \infty} \frac{x^{3}-6 x+1}{x^{2}+2 x-3}$
asked Jun 20, 2021 in Mathematics by Maths Genie Bronze Status (5,592 points) | 111 views
2 like 0 dislike
1 answer
Find the limit $\lim _{x \rightarrow-\infty} \frac{x-9}{2 x-x^{2}}$
asked Jun 20, 2021 in Mathematics by Maths Genie Bronze Status (5,592 points) | 146 views
Login to remove ads!

Join the MathsGee Study Questions & Answers Club where you get study and financial support for success from our community. LEARN - CONNECT - EARN


On the MathsGee Study Questions & Answers, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Tip your favourite community member(s)


5. Create Live Video Tutorials (Paid/Free)


6. Join Live Video Tutorials (Paid/Free)


7. Earn points for participating



Posting on the MathsGee Study Questions & Answers


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




Q&A RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Login to remove ads!

Categories

Most popular tags