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Lim X → 0 E Tan X − 1 X

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Question

`\lim_{x \to 0} \frac{e^\tan x - 1}{x}`

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Solution

`\lim_{x \to 0} \left[ \frac{e^\tan x - 1}{x} \right]`
` = \lim_{x \to 0} \left[ \frac{e^\tan x - 1}{\tan x} \times \frac{\tan x}{x} \right]`
\[ = 1 \times 1\]

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Chapter 29: Limits - Exercise 29.1 [Page 72]

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R.D. Sharma Mathematics [English] Class 11
Chapter 29 Limits
Exercise 29.1 | Q 38 | Page 72

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