What is the limit as x approaches infinity of 5+2/x ?

The limit as x approaches infinity of 5+2/x is 5

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limit as x approaches infinity of 5+2/x

x \to \infty lim (5 + \frac{2}{x})

5

Solution steps

x \to \infty lim (5 + \frac{2}{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 (5) + x \to \infty lim (\frac{2}{x})

x \to \infty lim (5) = 5

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

= 5 + 0

Simplify

= 5

\int_{2}^{3} (x - 2)^{3} d x

sec^{2} (x) d y + csc (y) d x = 0, y (\frac{π}{4}) = 0

x \to \infty + lim (3 + \frac{2}{x})

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

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

What is the limit as x approaches infinity of 5+2/x ?
The limit as x approaches infinity of 5+2/x is 5