Lim x - 0 x n sin n x x n - sin n x

The correct option is A 0 [ lim #160; ...

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Introduction

lim x → 0 x ...

Question

${lim}_{x \to 0} \frac{x^{n} {sin}^{n} x}{x^{n} - {sin}^{n} x}$

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a

Evaluate the following one sided limits:

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$(i i) {lim}_{x \to 2^{-}} \frac{x - 3}{x^{2} - 4}$

$(i i i) {lim}_{x \to 0^{+}} \frac{1}{3 x}$

$(i v) {lim}_{x \to 8^{+}} \frac{2 x}{x + 8}$

$(v) {lim}_{x \to 0^{+}} \frac{2}{x^{\frac{1}{5}}}$

$(v i) {lim}_{x \to \frac{π^{-}}{2}} t a n x$

$(v i i) {lim}_{x \to \frac{π}{2^{+}}} s e c x$

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