What is the limit as x approaches 3 of e^{7/(x-3)} ?

The limit as x approaches 3 of e^{7/(x-3)} is diverges

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limit as x approaches 3 of e^{7/(x-3)}

x \to 3 lim (e^{\frac{7}{x - 3}})

diverges

Solution steps

x \to 3 lim (e^{\frac{7}{x - 3}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 3 + lim (e^{\frac{7}{x - 3}}) = \infty

x \to 3 - lim (e^{\frac{7}{x - 3}}) = 0

= diverges

What is the limit as x approaches 3 of e^{7/(x-3)} ?
The limit as x approaches 3 of e^{7/(x-3)} is diverges