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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?
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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.