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

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

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limit as x approaches infinity of 7+4/x

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

7

Solution steps

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

x \to \infty lim (7) = 7

x \to \infty lim (\frac{4}{x}) = 0

= 7 + 0

Simplify

= 7

n = 1 \sum \infty \frac{3 n}{2 n + 1}

\frac{\partial}{\partial x} (\frac{y}{x ^{2} + y ^{2} + 1})

6 x y^{^{'}} = 2 x e^{x} - 6 y + 6 x^{2}

\frac{\partial}{\partial v} (u^{2})

\int \frac{1}{2 k ^{2}} \cdot e^{- \frac{x}{2 k ^{2}}} d x

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