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

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

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limit as x approaches infinity of |2-x|

x \to \infty lim (∣ 2 - x ∣)

\infty

Solution steps

x \to \infty lim (∣ 2 - x ∣)

2 - x

is negative when

x \to \infty

. Therefore

∣ 2 - x ∣ = - 2 + x

= x \to \infty lim (- 2 + x)

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 |2-x| ?
The limit as x approaches infinity of |2-x| is infinity