What is the limit as x approaches infinity of arcsinh(x) ?

The limit as x approaches infinity of arcsinh(x) is infinity

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limit as x approaches infinity of arcsinh(x)

x \to \infty lim (arcsinh (x))

\infty

Solution steps

x \to \infty lim (arcsinh (x))

Apply the common limit:

x \to \infty lim (arcsinh (x)) = \infty

= \infty

x \to \infty lim ((1 - \frac{2}{x})^{8 x})

x \to 0 lim (x^{3} cot (x))

x \to 1 lim (\frac{1 - x ^{3}}{x - 1})

x \to - \infty lim (\frac{2 - 3 e ^{- x}}{5 e ^{- x} - 4})

x \to \infty lim (\frac{x}{e ^{- x}})

What is the limit as x approaches infinity of arcsinh(x) ?
The limit as x approaches infinity of arcsinh(x) is infinity