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

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

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

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

1

Solution steps

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

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 (1)

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

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

= 0 + 1

Simplify

= 1

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\frac{\partial}{\partial x} (\frac{1}{x ^{2} + 2 y ^{2} + 1})

\frac{\partial}{\partial x} (2 cos (x))

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