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})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

Apply the common limit:

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

= - \infty

x \to 2 lim (\frac{f ( x )}{x})

x \to 4 lim (2 (x^{2} - 3 x)^{5})

x \to \infty lim ((\frac{13 x}{13 x + 7})^{6 x})

x \to - \infty lim ((3)^{x})

x \to \infty lim (- x^{2} + 9)

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