If f(x) = underset(r = 1)overset(n)(sum)...

If `f(x) = underset(r = 1)overset(n)(sum)a_(r)|x|^(r)`, where `a_(i)` s 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

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The correct Answer is:

A, C

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