What is the limit as x approaches infinity of e^x-3 ?

The limit as x approaches infinity of e^x-3 is infinity

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limit as x approaches infinity of e^x-3

x \to \infty lim (e^{x} - 3)

\infty

Solution steps

x \to \infty lim (e^{x} - 3)

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 (e^{x}) - x \to \infty lim (3)

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

x \to \infty lim (3) = 3

= \infty - 3

Apply Infinity Property:

\infty - c = \infty

= \infty

\frac{d}{d x} (\frac{z ( x )}{x})

\int_{0}^{2} (y - 2)^{2} d y

\frac{d}{d x} ((2 x + 1)^{2} (x^{2} + x + 1))

\int \frac{1}{( x + 6 ) ^{2}} d x

\frac{d}{d x} ((2 x^{2} - 5 x + 7)^{3})

What is the limit as x approaches infinity of e^x-3 ?
The limit as x approaches infinity of e^x-3 is infinity