What is the limit as x approaches infinity of 10^x+2 ?

The limit as x approaches infinity of 10^x+2 is infinity

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limit as x approaches infinity of 10^x+2

x \to \infty lim (1 0^{x} + 2)

\infty

Solution steps

x \to \infty lim (1 0^{x} + 2)

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

x \to \infty lim (1 0^{x}) = \infty

x \to \infty lim (2) = 2

= \infty + 2

Apply Infinity Property:

\infty + c = \infty

= \infty

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

x \to 3 lim (2 x - 5)

x \to \frac{π}{6} lim (cot (4 x))

x \to 0 lim (\frac{x ^{2} - x}{2 x})

x \to 3 lim (\frac{1}{x ^{2} + 16})

What is the limit as x approaches infinity of 10^x+2 ?
The limit as x approaches infinity of 10^x+2 is infinity