What is the limit as x approaches 0 of (3^x)/x ?

The limit as x approaches 0 of (3^x)/x is diverges

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limit as x approaches 0 of (3^x)/x

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 0 + lim (\frac{3 ^{x}}{x}) = \infty

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

= diverges

x \to 1 lim (- 3 x^{4} + 2 x + 1)

x \to 2 lim ((x + 2)^{2})

x \to 0 lim (5 x^{2} ln (x))

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

x \to \infty lim (1 0^{x} + 2)

What is the limit as x approaches 0 of (3^x)/x ?
The limit as x approaches 0 of (3^x)/x is diverges