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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 3 + lim (x + 6)

x \to - 4 - lim (\frac{x + 5}{x + 4})

x \to - \infty lim (\frac{3 x ^{2} + 6}{5 - 2 x})

x \to 0 lim (ln (x) ln (1 - x))

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

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