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

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

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limit as x approaches infinity of |x+1|

x \to \infty lim (∣ x + 1 ∣)

\infty

Solution steps

x \to \infty lim (∣ x + 1 ∣)

x + 1

is positive when

x \to \infty

. Therefore

∣ x + 1 ∣ = x + 1

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

Apply Infinity Property:

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

n is odd

a = 1, n = 1

= \infty

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