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Let f(x)=lim(ntooo)(cos sqrt(x/n))^(n),g...

Let `f(x)=lim_(ntooo)(cos sqrt(x/n))^(n),g(x)=lim_(nto oo)(1-x+x root(n)(e))^(n)`
Now consider the function `y=h(x)` where `h(x)=tan^(-1)(g^(-1)f^(-1)(x))`.
Domain of the function `y=h(x)` is

A

`(0, oo)`

B

R

C

`(0, 1)`

D

`[0, 1]`

Text Solution

Verified by Experts

The correct Answer is:
C
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