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

The limit as x approaches infinity of-5^x is -infinity

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limit as x approaches infinity of-5^x

x \to \infty lim (- 5^{x})

- \infty

Solution steps

x \to \infty lim (- 5^{x})

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

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

Apply the common limit:

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

= - \infty

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