What is the limit as n approaches infinity of (n+1)x ?

The limit as n approaches infinity of (n+1)x is infinity

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limit as n approaches infinity of (n+1)x

n \to \infty lim ((n + 1) x)

\infty

Solution steps

n \to \infty lim ((n + 1) x)

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

= x \cdot n \to \infty lim (n + 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 (n \to \infty lim (n) + n \to \infty lim (1))

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

n \to \infty lim (1) = 1

= x (\infty + 1)

Simplify

x (\infty + 1) : \infty

= \infty

\frac{3 x - 9}{2 x + 8}

t^{- 3}

\frac{d}{d x} (cos^{3} (\frac{x ^{2}}{1 - x}))

x \to - 2 lim (\frac{1}{2 - x})

\frac{d}{d x} (2 sin (x) - 2 x cos (x))

What is the limit as n approaches infinity of (n+1)x ?
The limit as n approaches infinity of (n+1)x is infinity