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If f(x)=(x.2^(x)-x)/(1-cosx) and g(x)=2^...

If `f(x)=(x.2^(x)-x)/(1-cosx)` and `g(x)=2^(x).sin((log2)/(2^(x)))` then
a. `lim_(xto0)f(x)=log2`
b. `lim_(xtooo)g(x)=log4`
c. `lim_(xto0)f(x)=log4`
d. `lim_(xtooo)g(x)=log2`

A

`lim_(xto0)f(x)=log2`

B

`lim_(xtooo)g(x)=log4`

C

`lim_(xto0)f(x)=log4`

D

`lim_(xtooo)g(x)=log2`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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