What is the limit as x approaches infinity+of ((e^x))/x ?

The limit as x approaches infinity+of ((e^x))/x is infinity

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limit as x approaches infinity+of ((e^x))/x

x \to \infty + lim (\frac{( e ^{x} )}{x})

\infty

Solution steps

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

Apply L'Hopital's Rule

: x \to \infty lim (\frac{e ^{x}}{1})

= x \to \infty lim (\frac{e ^{x}}{1})

Simplify

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

Apply the common limit:

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

= \infty

t \to \infty lim (t e^{t})

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

x \to 0 + lim (x^{9} (ln (x))^{2})

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

x \to π lim (- cos (x))

What is the limit as x approaches infinity+of ((e^x))/x ?
The limit as x approaches infinity+of ((e^x))/x is infinity