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

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

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

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

\infty

Solution steps

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

x \to \infty lim (\frac{3}{x}) = 0

x \to \infty lim (5 x) = \infty

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

x - 1, y^{2} = 2 x + 6

\frac{d}{d x} (y - x - 2)

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

x \to 2.5 lim (g (x))

\int \frac{1}{t ^{2} + 6 t + 25} d t

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