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 3 - lim (\frac{sin ( x )}{x})

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

x \to 0 - lim (a x^{2} + 2)

x \to 3 - lim (\frac{x + 1}{x - 3})

x \to - 1 lim (- 2 x^{3} + 3 x^{2} + x + 1)

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