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If f (x) = Tan ^(-1)((3x-x ^(3))/(1-3x ^...

If `f (x) = Tan ^(-1)((3x-x ^(3))/(1-3x ^(2)),g (x) =Cos^(-1) ((1-x ^(2))/(1 + x ^(2))and 0 lt alpha lt 1/2,` then `lim _(x to alpha ) (f (x) -f (a))/(g (x)-g (a))`

A

`(-2)/(3)`

B

`(-3)/(2)`

C

`2/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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