What is the limit as t approaches infinity of 800-800t^{-1} ?

The limit as t approaches infinity of 800-800t^{-1} is 800

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limit as t approaches infinity of 800-800t^{-1}

t \to \infty lim (800 - 800 t^{- 1})

800

Solution steps

t \to \infty lim (800 - 800 t^{- 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

= t \to \infty lim (800) - t \to \infty lim (800 t^{- 1})

t \to \infty lim (800) = 800

t \to \infty lim (800 t^{- 1}) = 0

= 800 - 0

Simplify

= 800

g (x) = \frac{1}{x + 1}

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What is the limit as t approaches infinity of 800-800t^{-1} ?
The limit as t approaches infinity of 800-800t^{-1} is 800