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

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

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limit as x approaches-infinity of e^x+3

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

3

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}) = 0

x \to - \infty lim (3) = 3

= 0 + 3

Simplify

= 3

x \to 1 - lim (\frac{x}{1 - x})

x \to 3 - lim (\frac{5 x}{x - 3})

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

x \to a lim (3 x^{2} + 4 x - 5)

x \to - \frac{π}{2} + lim (cos (x))

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