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If f(x)=((1-tanx)/(1+sinx))^(cosec x) is to be made continuous at x=0, then f(0) must be equal to |
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Answer» `e^(2)` then underset(xrarr0)lim f (x) -f(0)` `impliesf (0) =underset(xrarr0)lim f (x) = e^(underset(srarr0)lim((-tanx-sin x)/((1-sin x).sin x)))` `= e^(underset(xrarr0)(lim)).((1+COS x))/((1-sin x),cos x)=e^(-2)` |
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