What is the limit as x approaches-infinity of 4^x+5 ?

The limit as x approaches-infinity of 4^x+5 is 5

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limit as x approaches-infinity of 4^x+5

x \to - \infty lim (4^{x} + 5)

5

Solution steps

x \to - \infty lim (4^{x} + 5)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to - \infty lim (4^{x}) + x \to - \infty lim (5)

x \to - \infty lim (4^{x}) = 0

x \to - \infty lim (5) = 5

= 0 + 5

Simplify

= 5

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What is the limit as x approaches-infinity of 4^x+5 ?
The limit as x approaches-infinity of 4^x+5 is 5