The value of \( \lim _{x \rightarrow 0} \frac{e-(1+x)^{1 / x}}{\tan x} \) is (a) \( \theta \) (b...

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The value of \( \lim _{x \rightarrow 0} \frac{e-(1+x)^{1 / x}}{\tan x} \) is
(a) \( \theta \)
(b) \( \frac{11 e}{24} \)
(c) \( \frac{\theta}{2} \)
(d) None of these
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