What is the limit as x approaches infinity of 3+5/x ?

The limit as x approaches infinity of 3+5/x is 3

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limit as x approaches infinity of 3+5/x

x \to \infty lim (3 + \frac{5}{x})

3

Solution steps

x \to \infty lim (3 + \frac{5}{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 (3) + x \to \infty lim (\frac{5}{x})

x \to \infty lim (3) = 3

x \to \infty lim (\frac{5}{x}) = 0

= 3 + 0

Simplify

= 3

\frac{\partial}{\partial x} (\frac{d}{t})

\int_{0}^{5} ∣ 5 x - 10 ∣ d x

y^{^{'}} = 3 x (y - 1)^{\frac{1}{3}}

\frac{\partial}{\partial x} (3 x \cdot e^{2 x + y^{2}})

What is the limit as x approaches infinity of 3+5/x ?
The limit as x approaches infinity of 3+5/x is 3