What is the limit as x approaches-infinity of 3^x-2 ?

The limit as x approaches-infinity of 3^x-2 is -2

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limit as x approaches-infinity of 3^x-2

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

- 2

Solution steps

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

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

x \to - \infty lim (3^{x}) = 0

x \to - \infty lim (2) = 2

= 0 - 2

Simplify

= - 2

x \to (2) lim (\frac{x ^{2} + 2 x - 3}{3 x ^{2} + 3 x - 18})

x \to 0 - lim (x^{t a n (x)})

n \to \infty lim (\frac{1}{3 ^{n - 1}})

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

x \to - \infty lim (\frac{4 x ^{2} + 5 x}{x})

What is the limit as x approaches-infinity of 3^x-2 ?
The limit as x approaches-infinity of 3^x-2 is -2