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

The limit as x approaches infinity of e^x+e is infinity

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limit as x approaches infinity of e^x+e

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

\infty

Solution steps

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

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 (e)

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

x \to \infty lim (e) = e

= \infty + e

Apply Infinity Property:

\infty + c = \infty

= \infty

\frac{d}{d x} (3 x + x)

\frac{d}{d x} (\frac{x ^{2} + x}{x ^{2} + 4 x})

\frac{d}{d x} (a e^{x} cos (x) + b e^{x} sin (x))

\int \frac{14 x ^{2} + 9 x + 43}{( x + 2 ) ( x ^{2} + 5 )} d x

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