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Question

$f (x) = \frac{2^{| x |}}{sin x}$ is
even
odd
neither even nor odd
one-one on $R - {x : s i n x = 0}$

A

odd

B

one-one on

R - {x : s i n x = 0}

C

even

D

neither even nor odd

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Solution

Verified by Toppr

$f (x) = \frac{2^{∣ x ∣}}{sin x}$
$f (- x) = \frac{2^{∣ - x ∣}}{sin (- x)}$
$= - \frac{2^{| x |}}{sin x}$
$f (- x) = - f (x)$
So it is an odd function

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