What is the limit as x approaches infinity of 5^x+1 ?

The limit as x approaches infinity of 5^x+1 is infinity

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limit as x approaches infinity of 5^x+1

x \to \infty lim (5^{x} + 1)

\infty

Solution steps

x \to \infty lim (5^{x} + 1)

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 (5^{x}) + x \to \infty lim (1)

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

x \to \infty lim (1) = 1

= \infty + 1

Apply Infinity Property:

\infty + c = \infty

= \infty

x^{2}, 6 - x

\frac{1}{1 - x ^{3}}

e^{a \cdot t}

f (x) = x e^{x}

f (x) = (\frac{x + 1}{x - 3})^{2}

What is the limit as x approaches infinity of 5^x+1 ?
The limit as x approaches infinity of 5^x+1 is infinity