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Given f(x)=[loga (a|[x]+[-x]|)^x((a^((2...

Given `f(x)=[log_a (a|[x]+[-x]|)^x((a^((2/(([x]+[-x])))/(|x|)-5))/(3+a^(1/(|x|)))` for `|x| !=0 ; a lt 1 and 0 for x=0` where [ ] represents the integral part function, then

A

f is continuous but not differentiable at x = 0

B

f is cont. & diff. at x = 0

C

the differentiability of ‘f’ at x = 0 depends on the value of a

D

f is cont. & diff. at x = 0 and for a = e only.

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