What is the limit as x approaches infinity of 3x+1/x ?

The limit as x approaches infinity of 3x+1/x is infinity

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limit as x approaches infinity of 3x+1/x

x \to \infty lim (3 x + \frac{1}{x})

\infty

Solution steps

x \to \infty lim (3 x + \frac{1}{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) + x \to \infty lim (\frac{1}{x})

x \to \infty lim (3 x) = \infty

x \to \infty lim (\frac{1}{x}) = 0

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

\int \frac{2 x - 1}{x ^{3} - 6 x ^{2} + 11 x - 6} d x

x \to - \infty lim (- \frac{6}{x})

f (x) = csc^{7} (2 x)

y^{^{'}} + 2 y = e^{(4 t)}

\int (x^{2} - x) d x

What is the limit as x approaches infinity of 3x+1/x ?
The limit as x approaches infinity of 3x+1/x is infinity