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A function is defined as f(x)=lim(x->oo)...

A function is defined as `f(x)=lim_(x->oo)[cos^(2n) x` , if `x<0)` , `nsqrt(sqrt(1+x^n,` if `0<=x,+1)` , `1/(1+x^n),` if `x>1` which of the following does not hold good?

A

continuous at `x=0` but discontinuous at `x=1`

B

continuous at `x=1` but discontinuous at `x=0`

C

discontinuous at both `x=1` and `x=0`

D

continuous at both `x=1` and `x=0`

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