What is the limit as x approaches infinity of 1+2^x ?

The limit as x approaches infinity of 1+2^x is infinity

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limit as x approaches infinity of 1+2^x

x \to \infty lim (1 + 2^{x})

\infty

Solution steps

x \to \infty lim (1 + 2^{x})

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

x \to \infty lim (1) = 1

x \to \infty lim (2^{x}) = \infty

= 1 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

y = x^{2} - 1, (5, 24)

\frac{d}{d x} (x^{5} \cdot ln (x))

\frac{d}{d x} (x^{2} - a^{2})

n = 0 \sum \infty \frac{1}{3 ^{n - 1}}

y = \frac{1}{ln ( x )}

What is the limit as x approaches infinity of 1+2^x ?
The limit as x approaches infinity of 1+2^x is infinity