What is the limit as x approaches 2-of e^{1/(x-2)} ?

The limit as x approaches 2-of e^{1/(x-2)} is 0

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limit as x approaches 2-of e^{1/(x-2)}

x \to 2 - lim (e^{\frac{1}{x - 2}})

0

Solution steps

x \to 2 - lim (e^{\frac{1}{x - 2}})

Apply the Limit Chain Rule:

0

= 0

y^{^{'}} = y (\frac{1}{x} - y)

y = x^{2} - 4 x - 5, y = 2 x - 5

\int_{2.25}^{2.75} 2 d x

\frac{d}{d x} (arctan (3 x^{2} - x))

\int_{- \infty}^{1} \frac{1}{x ^{2}} d x

What is the limit as x approaches 2-of e^{1/(x-2)} ?
The limit as x approaches 2-of e^{1/(x-2)} is 0