Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

If $f$ is twice differentiable and $f''(0)=2$ then $\lim\limits_{x\to 0}\large\frac{2f(x)-3f(2x)+f(4x)}{x^2}$=

$(a)\;6\qquad(b)\;3\qquad(c)\;12\qquad(d)\;None\;of\;these$

1 Answer

Comment
A)
limit=$\lim\limits_{x\to 0}\large\frac{2f'(x)-6f'(2x)+4f'(4x)}{2x}$
$\Rightarrow \lim\limits_{x\to 0}\large\frac{2f''(x)-12f''(2x)+16f''(4x)}{2}$
$\Rightarrow \large\frac{6f''(0)}{2}$
$\Rightarrow 6$
Hence (a) is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...