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If f(x) = lim(n->oo) tan^(-1) (4n^2(1-co...

If `f(x) = lim_(n->oo) tan^(-1) (4n^2(1-cos(x/n))) `and g(x) = `lim_(n->oo) n^2/2 ln cos(2x/n)` then `lim_(x->0) (e^(-2g(x)) -e^(f(x)))/(x^6)` equals

A

`8/3`

B

`7/3`

C

`5/3`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
A
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