What is the limit as x approaches infinity of 2^x-4 ?

The limit as x approaches infinity of 2^x-4 is infinity

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limit as x approaches infinity of 2^x-4

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

\infty

Solution steps

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

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

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

x \to \infty lim (4) = 4

= \infty - 4

Apply Infinity Property:

\infty - c = \infty

= \infty

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

x \to 0 + lim (\frac{x + 1}{x})

y \to - 2 lim (g (y))

x \to 0 lim (e^{x} cos (4 x))

x \to 5 - lim (x - 5)

What is the limit as x approaches infinity of 2^x-4 ?
The limit as x approaches infinity of 2^x-4 is infinity