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If f(x)=sum(n=0) an|x|^n, where ai are r...

If `f(x)=sum_(n=0) a_n|x|^n`, where `a_i` are real constants, then `f(x)` is

A

contiunuous at x=0 for all `a_(i)`

B

differentiable at x=0 for all `a_(i)epsilon R`

C

differentiable at x=0 for all `a_(2k+1)=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, C
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