What is the limit as x approaches 3-of e^{x/(x^2-9)} ?

The limit as x approaches 3-of e^{x/(x^2-9)} is 0

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limit as x approaches 3-of e^{x/(x^2-9)}

x \to 3 - lim (e^{\frac{x}{x ^{2} - 9}})

0

Solution steps

x \to 3 - lim (e^{\frac{x}{x ^{2} - 9}})

Apply the Limit Chain Rule:

0

= 0

x \to 3 lim (\frac{x + 2}{2})

x \to 0 lim (x^{- \frac{2}{3}})

x \to - 8 lim (\frac{x ^{2} - 7}{8 - x})

x \to 0 lim (1 - cos^{2} (2 x))

x \to c lim ([8]^{2})

What is the limit as x approaches 3-of e^{x/(x^2-9)} ?
The limit as x approaches 3-of e^{x/(x^2-9)} is 0