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Let f(x)=int(-1)^(1) (1-|t|) cos (xt)dt ...

Let `f(x)=int_(-1)^(1) (1-|t|) cos (xt)dt `, then which of the following holds true?

A

`f(0)` is not defined

B

`underset(x rarr 0)(lim)f(x)` exists and is equal to 2

C

`underset(x rarr 0)(lim)f(x)`exists and is equal to 1

D

`f(x) is continuous at `x=0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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