Evaluate: \(\lim\limits_{x \to 0}\frac{sin\,nx}{x}\)

1.	Evaluate: \(\lim\limits_{x \to 0}\frac{sin\,nx}{x}\)
Answer» \(\lim\limits_{x \to 0}\frac{sin\,nx}{x}\) \(=\lim\limits_{x \to 0}n.\frac{sin\,nx}{x}\) \(=n\lim\limits_{x \to 0}(\frac{sin\,nx}{x})\) = n .1 = n

Answer»

\(\lim\limits_{x \to 0}\frac{sin\,nx}{x}\)

\(=\lim\limits_{x \to 0}n.\frac{sin\,nx}{x}\)

\(=n\lim\limits_{x \to 0}(\frac{sin\,nx}{x})\)

= n .1

= n

Discussion

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