What is the limit as x approaches infinity of 4+7/x ?

The limit as x approaches infinity of 4+7/x is 4

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limit as x approaches infinity of 4+7/x

x \to \infty lim (4 + \frac{7}{x})

4

Solution steps

x \to \infty lim (4 + \frac{7}{x})

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 \to \infty lim (4) + x \to \infty lim (\frac{7}{x})

x \to \infty lim (4) = 4

x \to \infty lim (\frac{7}{x}) = 0

= 4 + 0

Simplify

= 4

n = 2 \sum \infty \frac{n}{ln ( n )}

n = 0 \sum \infty \frac{( - 1 ) ^{n}}{n}

n = 0 \sum \infty 4 (\frac{1}{2})^{n - 2}

n = 1 \sum \infty \frac{n + 1}{n ^{3}}

n = 3 \sum \infty \frac{1}{n ^{2} - 2 n}

What is the limit as x approaches infinity of 4+7/x ?
The limit as x approaches infinity of 4+7/x is 4