What is the limit as x approaches infinity of e^{kx} ?

The limit as x approaches infinity of e^{kx} is infinity

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limit as x approaches infinity of e^{kx}

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

\infty

Solution steps

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

Apply the Limit Chain Rule:

\infty

= \infty

n \to \infty lim (\frac{cos ( n )}{n ^{2}})

x \to π lim (tan (\frac{x}{4}))

x \to 0 lim (x tan (\frac{π}{2} - x))

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

x \to 0 lim (\frac{4 x - x ^{2}}{x})

What is the limit as x approaches infinity of e^{kx} ?
The limit as x approaches infinity of e^{kx} is infinity