What is the limit as n approaches infinity of 5^n ?

The limit as n approaches infinity of 5^n is infinity

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limit as n approaches infinity of 5^n

n \to \infty lim (5^{n})

\infty

Solution steps

n \to \infty lim (5^{n})

Apply the common limit:

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

= \infty

\frac{\partial}{\partial y} (x^{2} - x y + y^{2})

\int \frac{x}{( x + 2 ) ( x - 4 )} d x

\int sec (2 x) \cdot tan (2 x) d x

\int \frac{2 x - 3}{x ^{2} + 4} d x

n = 1 \sum \infty \frac{2 n}{n ^{2}}

What is the limit as n approaches infinity of 5^n ?
The limit as n approaches infinity of 5^n is infinity