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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

contionuous at x=1 for all `a_(1)`

B

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

C

differentaiable at x=0 for all `a_(i) in R`

D

none of these

Text Solution

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The correct Answer is:
A, B
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