• Want FREE Counselling for Exam Preparation?
###### Call Us
800-355-2211

Speak With a Friendly Mentor. ###### Vijay posted an Question
May 13, 2022 • 13:06 pm 30 points
• CSIR NET
• Mathematical Sciences

# 1 let n be a positive integer. let f(x) = *** sin if x*0 and let f (0) = 0. for what value of n will f be twice differentiable but with its second derivative di

1 Let n be a positive integer. Let f(x) = *** sin if x*0 and let f (0) = 0. For what value of n will f be twice differentiable but with its second derivative discontinuous at x = 0?

• 0 Likes
• 0 Shares
• ##### Kanika goswami 1 Best Answer

check it

I don't understand why you say n-2>= 0??? what is the problem if that's not the case.

if n<2 then in second derivative there is 1/x term which does not tends to finite limit as x tends to 0....that's why I imposed the condition that n must be greater than or equal to 2....ok

yes, but in the question, it says f'' is discontinuous at x=0 which implies we can have n<2.

but f'' bhi toh exist hona chahiye na

yes it exists for all values of x other than 0.

if n>=2 then f'' exist at 0 also.

### Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

• Updated Syllabus, Paper Pattern & Full Exam Details
• Sample Theory of Most Important Topic
• Model Test Paper with Detailed Solutions
• Last 5 Years Question Papers & Answers