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If f(x) = {{:( 1-2x +3x^(2) -4x^(3) +....

If f(x) ` = {{:( 1-2x +3x^(2) -4x^(3) +......infty,"for" xne 1),( 1,"for " x=-1):},then ` f(x) is

A

continuous for all x `in ` R

B

continuous but not differentiable at x=-1

C

continuous and differentiable at x = -1

D

not continous and not differentiable at x=-1

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The correct Answer is:
D
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