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

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

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

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

3

Solution steps

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

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

x \to - \infty lim (2^{x}) = 0

= 3 - 0

Simplify

= 3

ln (\frac{x}{x ^{2} + c})

\int_{0}^{8} \frac{2}{x ^{\frac{2}{3}}} d x

\frac{d}{d x} (\frac{5}{x} - 1)

f (x) = x^{4} - 13 x^{2} + 36, at 1

\int \frac{x ^{2} - 3 x + 2}{x + 1} d x

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