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

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

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limit as x approaches-infinity of e^x+x

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

- \infty

Solution steps

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

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

x \to - \infty lim (x) = - \infty

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

x \to - 3 lim (x^{2} - 5 x + 7)

x \to \frac{7 π}{2} lim (tan (x))

x \to 1 lim (- x + 3)

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

x \to 2 - lim (\frac{x - 3}{x ^{2} - 4})

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