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Question
\[\lim_{x \to 0} \frac{x}{\tan x} is\]
Options
(a) 0
(b) 1
(c) 4
(d) not defined
Solution
(b) 1
\[\lim_{x \to 0} \frac{x}{\tan x}\]
\[ = \lim_{x \to 0} \frac{1}{\frac{\tan x}{x}}\]
\[ = \frac{1}{1}\]
\[ = 1\]
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