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Lim X → 0 E X − 1 + Sin X X - Mathematics

\[\lim_{x \to 0} \frac{e^x - 1 + \sin x}{x}\]

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Solution

\[\lim_{x \to 0} \left[ \frac{e^x - 1 + \sin x}{x} \right]\]
\[ = \lim_{x \to 0} \left[ \frac{e^x - 1}{x} + \frac{\sin x}{x} \right]\]
\[ = 1 + 1\]
\[ = 2\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 29 Limits
Exercise 29.1 | Q 15 | Page 71
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