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

The limit as x approaches infinity of 5x-2 is infinity

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limit as x approaches infinity of 5x-2

x \to \infty lim (5 x - 2)

\infty

Solution steps

x \to \infty lim (5 x - 2)

Apply Infinity Property:

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

n is odd

a = 5, n = 1

= \infty

h \to 0 lim (\frac{3 h}{h})

x \to \infty lim (\frac{3 x + 1}{2 x + 1})

x \to 7 - lim (\frac{2}{x - 7})

x \to \infty lim (5 x + 3)

x \to 3 lim (\frac{4}{x - 1})

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