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Consider f(x)=(cos^(-1)(cos(sinx))-|x-pi|)/(sin^(3)x), then |
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Answer» `underset(xto0)Limf(X)` =does not exist Let `x-pi=t=underset(t TO0^(-1))Lim(-sint+t)/(-sin^(3)t)=(-1)/(6)` R.H.L. `atx=pi` `underset(x to pi^(+))Lim(-sinx-(x-pi))/(sin^(3)x)""(becausesingt0asxto pi^(+))` Let `x-pi=t` `underset(t to0)Lim(sint-t)/(sin^(3)t)=(1)/(6)`. |
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