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If f(x) = sum(r=1)^(n)a(r)|x|^(r), where...

If `f(x) = sum_(r=1)^(n)a_(r)|x|^(r)`, where `a_(i)` s are real constants, then f(x) is

A

continuous at x = 0, for all `a_(i)`

B

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

C

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

D

None of the above

Text Solution

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The correct Answer is:
A, C
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