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If lim(xtoa)f(x)=1 and lim(xtoa)g(x)=oo ...

If `lim_(xtoa)f(x)=1` and `lim_(xtoa)g(x)=oo` then `lim_(xtoa){f(x)}^(g(x))=e^(lim_(xtoa)(f(x)-1)g(x))` `lim_(xto0)((x-1+cosx)/x)^(1/x)` is equal to

A

(a)`e^(1//2)`

B

(b)`e^(-1//2)`

C

(c)`e^(1)`

D

(d)`1/e`

Text Solution

Verified by Experts

The correct Answer is:
B
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