What is the limit as x approaches 2+of e^{x/(x^2-4)} ?

The limit as x approaches 2+of e^{x/(x^2-4)} is infinity

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limit as x approaches 2+of e^{x/(x^2-4)}

x \to 2 + lim (e^{\frac{x}{x ^{2} - 4}})

\infty

Solution steps

x \to 2 + lim (e^{\frac{x}{x ^{2} - 4}})

Apply the Limit Chain Rule:

\infty

= \infty

x \to - \infty lim (1 - x)

x \to 0 + lim ((\frac{x}{x + 1})^{x})

x \to 0 lim (\frac{9 x ^{4}}{5 x ^{4}} - 12)

n \to \infty lim (\frac{ln ( \frac{1}{n} )}{2 n})

x \to π + lim (cos (x))

What is the limit as x approaches 2+of e^{x/(x^2-4)} ?
The limit as x approaches 2+of e^{x/(x^2-4)} is infinity