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To evaluate lim(xtoa)[f(x)], we must ana...

To evaluate `lim_(xtoa)[f(x)]`, we must analyse the `f(x)` in right hand neighbourhood as well as in left hand neighbourhood of `x=a`. E.g. In case of continuous function, we may come across followign cases.


`If `f(a) is an integer, the limit will exist in Case III and Case IV but not in Case I and Case II.`lim_(xto0)[(1-e^(x)).(sinx)/(|x|)]` (where [.] denotes the greatest integer function) equals

A

0

B

1

C

-1

D

Doesn't exist

Text Solution

Verified by Experts

The correct Answer is:
C
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