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

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

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limit as x approaches infinity of |x|

x \to \infty lim (∣ x ∣)

\infty

Solution steps

x \to \infty lim (∣ x ∣)

x

is positive when

x \to \infty

. Therefore

∣ x ∣ = x

= x \to \infty lim (x)

Apply the common limit:

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

= \infty

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