What is the limit as x approaches-infinity of 6-2^x ?

The limit as x approaches-infinity of 6-2^x is 6

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limit as x approaches-infinity of 6-2^x

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

6

Solution steps

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

x \to - \infty lim (6) = 6

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

= 6 - 0

Simplify

= 6

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What is the limit as x approaches-infinity of 6-2^x ?
The limit as x approaches-infinity of 6-2^x is 6