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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)((sinx)/x)^((sinx)/(x-sinx))` is equal to

A

(a) `1//e`

B

(b) `-1//e`

C

(c) `e`

D

(d) `-e`

Text Solution

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The correct Answer is:
A
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