The value of $\lim_{x \to 0} (e^x - e^{-x} - 2x)/(1 - \cos x)$ is

✅ Correct Answer: 0

Explanation

The limit is of the form $0/0$ Apply L'Hospital rule $(e^x + e^{-x} - 2)/(\sin x)$ Again $0/0$ Apply L'Hospital rule $(e^x - e^{-x})/(\cos x)$ Substitute $x = 0$ Value $= 0$

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The value of $\lim_{x \to 0} (e^x - e^{-x} - 2x)/(1 - \cos x)$ is | ACME Academy