What is the limit as x approaches infinity of 2x+6 ?

The limit as x approaches infinity of 2x+6 is infinity

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limit as x approaches infinity of 2x+6

x \to \infty lim (2 x + 6)

\infty

Solution steps

x \to \infty lim (2 x + 6)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is odd

a = 2, n = 1

= \infty

x \to 0 lim (3 x^{s i n (x)})

x \to 0 lim (\frac{f ( 2 x )}{x})

x \to 1 lim (\frac{x + 2}{1 - x ^{2}})

x \to - 1 lim (- x^{2} + 2 x + 3)

x \to 3 lim (\frac{e ^{1}}{x})

What is the limit as x approaches infinity of 2x+6 ?
The limit as x approaches infinity of 2x+6 is infinity