The number of real solutions of the equation $sin (e^{x}) = 2^{x} + 2^{- x}$ is

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infinite

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Solution

The correct option is B 0
Given $sin (e^{x}) = 2^{x} + 2^{- x}$
For any real value of x, $2^{x} + 2^{- x} \geq 2$
$\Rightarrow sin (e^{x}) \geq 2$
which is not possible for any real value of x
Hence, the given equation has no solution.

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