What is the limit as n approaches infinity of 7n^{5/4} ?

The limit as n approaches infinity of 7n^{5/4} is infinity

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limit as n approaches infinity of 7n^{5/4}

n \to \infty lim (7 n^{\frac{5}{4}})

\infty

Solution steps

n \to \infty lim (7 n^{\frac{5}{4}})

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

= 7 \cdot n \to \infty lim (n^{\frac{5}{4}})

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

= 7 (n \to \infty lim (n))^{\frac{5}{4}}

Apply the common limit:

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

= 7 \infty^{\frac{5}{4}}

Simplify

7 \infty^{\frac{5}{4}} : \infty

= \infty

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What is the limit as n approaches infinity of 7n^{5/4} ?
The limit as n approaches infinity of 7n^{5/4} is infinity