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$lim_{x \to 0} {(\frac{e^{x} + e^{- x} - 2}{x^{2}})}^{1 / x^{2}}$ is equal to

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detailed solution

Correct option is D

We have,limx→0 ex+e−x−2x21x2=limx→0 2x22!+x44!+x66!+…x21x2=limx→0 1+2x24!+2x46!+…1x2=limx→0 2x24!+2x46!+…×1x2=e1/12

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limx→0 ex+e−x−2x21/x2 is equal to

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$lim_{x \to 0} {(\frac{e^{x} + e^{- x} - 2}{x^{2}})}^{1 / x^{2}}$ is equal to