What is the limit as x approaches-infinity of 10^x+2 ?

The limit as x approaches-infinity of 10^x+2 is 2

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limit as x approaches-infinity of 10^x+2

x \to - \infty lim (1 0^{x} + 2)

2

Solution steps

x \to - \infty lim (1 0^{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 (1 0^{x}) + x \to - \infty lim (2)

x \to - \infty lim (1 0^{x}) = 0

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

= 0 + 2

Simplify

= 2

x \to \infty lim (5 + \frac{8}{x})

x \to 7 - lim (\frac{5 - x}{x - 7})

x \to 3 lim (x^{2} + 5 x - 7)

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

x \to - 6 lim (x^{2} + 9 x)

What is the limit as x approaches-infinity of 10^x+2 ?
The limit as x approaches-infinity of 10^x+2 is 2