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Let f(x) = lim( n to oo) (( x^(2) +2...

Let ` f(x) = lim_( n to oo) (( x^(2) +2x+3+ sin pi x)^(n)-1)/((x^(2)+2x+3+sinpi x)^(n)+1).` then

A

`f(x)` is continuous and differentiable for all `x in R`.

B

`f(x)` is continuous but not differentiable for all `x in R`.

C

`f(x)` is discontinuous at infinite number of points.

D

f(x) is discontinuous at two points.

Text Solution

Verified by Experts

The correct Answer is:
A
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