What is the limit as n approaches infinity of 2^n ?

The limit as n approaches infinity of 2^n is infinity

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limit as n approaches infinity of 2^n

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

\infty

Solution steps

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

Apply the common limit:

x \to \infty lim (a^{x}) = \infty, a > 1

= \infty

\frac{\partial}{\partial x} (e^{3 x})

x \to - 9 + lim (\frac{6 x + 54}{x + 9})

9 x^{4} - 9 x^{2}, 10 x^{2}

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{7}{x ^{4}}) (x + 3 x^{3}))

3 x - 3 x

What is the limit as n approaches infinity of 2^n ?
The limit as n approaches infinity of 2^n is infinity