What is the limit as n approaches infinity of 2/n+4n ?

The limit as n approaches infinity of 2/n+4n is infinity

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limit as n approaches infinity of 2/n+4n

n \to \infty lim (\frac{2}{n} + 4 n)

\infty

Solution steps

n \to \infty lim (\frac{2}{n} + 4 n)

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

= n \to \infty lim (\frac{2}{n}) + n \to \infty lim (4 n)

n \to \infty lim (\frac{2}{n}) = 0

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

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

x \to 7 + lim (10 x - 70)

x \to - 4 lim ((x + 3)^{1997})

x \to - 1 + lim (0)

x \to - \infty lim (x (0))

x \to - \infty lim (5 e^{x})

What is the limit as n approaches infinity of 2/n+4n ?
The limit as n approaches infinity of 2/n+4n is infinity