What is the limit as x approaches-infinity of 1-e^x ?

The limit as x approaches-infinity of 1-e^x is 1

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limit as x approaches-infinity of 1-e^x

x \to - \infty lim (1 - e^{x})

1

Solution steps

x \to - \infty lim (1 - e^{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 (1) - x \to - \infty lim (e^{x})

x \to - \infty lim (1) = 1

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

= 1 - 0

Simplify

= 1

(x^{3} - 8)^{\frac{2}{3}}

\frac{d}{d a} (sin (a) + sin (2 a) + sin (3 a))

- \frac{5 s}{( s ^{2} + 1 ) ^{2}}

\int (x + 1) (x + 3) d x

\frac{- 0.1 s}{s ^{2} - 9.8}

What is the limit as x approaches-infinity of 1-e^x ?
The limit as x approaches-infinity of 1-e^x is 1