What is the limit as n approaches infinity of-2(n-4) ?

The limit as n approaches infinity of-2(n-4) is -infinity

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limit as n approaches infinity of-2(n-4)

n \to \infty lim (- 2 (n - 4))

- \infty

Solution steps

n \to \infty lim (- 2 (n - 4))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 2 \cdot n \to \infty lim (n - 4)

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

= - 2 (n \to \infty lim (n) - n \to \infty lim (4))

n \to \infty lim (n) = \infty

n \to \infty lim (4) = 4

= - 2 (\infty - 4)

Simplify

- 2 (\infty - 4) : - \infty

= - \infty

n = 3 \sum \infty \frac{4 ^{n}}{5 ^{n}}

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What is the limit as n approaches infinity of-2(n-4) ?
The limit as n approaches infinity of-2(n-4) is -infinity