What is the limit as x approaches 0 of (2^x)/x ?

The limit as x approaches 0 of (2^x)/x is diverges

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limit as x approaches 0 of (2^x)/x

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

diverges

Solution steps

x \to 0 lim (\frac{2 ^{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{2 ^{x}}{x}) = \infty

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

= diverges

x \to 0 + lim (9 sin (x) ln (x))

x \to 0 - lim (- \frac{1}{3 x ^{3}})

\int_{0}^{\frac{π}{9}} 7 - 7 cos (3 x) d x

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

f (x) = (csc (3 x - 1))^{\frac{2}{3}}

What is the limit as x approaches 0 of (2^x)/x ?
The limit as x approaches 0 of (2^x)/x is diverges