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Evaluate lim(x to 0) (tan(sgn(x)))/(sgn(...

Evaluate `lim_(x to 0) (tan(sgn(x)))/(sgn(x))` if exists.

Text Solution

Verified by Experts

The correct Answer is:
`tan1`
`underset(xto0^(+))lim(tan(sgn(x)))/(sgn(x))=(tan1)/(1)=tan1`
`underset(xto0^(-))lim(tan(sgn(x)))/(sgn(x))=tan(-1)/((-1))=tan1`
`:." "underset(xto0)lim(tan(sgn(x)))/(sgn(x))=tan1`
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