What is the limit as x approaches infinity of 5x+1 ?

The limit as x approaches infinity of 5x+1 is infinity

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limit as x approaches infinity of 5x+1

x \to \infty lim (5 x + 1)

\infty

Solution steps

x \to \infty lim (5 x + 1)

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

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

x \to 1 + lim (ln (x - 1) + 3 x)

x \to 0 lim (4 x^{2} + 5 x - 6)

x \to 7 lim (\frac{8 x}{x - 7})

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

What is the limit as x approaches infinity of 5x+1 ?
The limit as x approaches infinity of 5x+1 is infinity