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Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+...

Evaluate: `lim_(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)`

Text Solution

Verified by Experts

The correct Answer is:
2
`underset(xto0)lim(cos^(-1)((1-x^(2))/(1+x^(2))))/(sin^(-1)x)=underset(xto0)lim(2tan^(-1)x)/(sin^(-1)x)=2`
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