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Popular >

limit as x approaches 0 of |x|

Solution

x \to 0 lim (∣ x ∣)

Solution

0

Solution steps

x \to 0 lim (∣ x ∣)

Plug in the value

x = 0

= ∣ 0 ∣

Apply absolute rule:

∣ a ∣ = a, a \geq 0

= 0

Popular Examples

integral from 0 to pi of |cos(x)|

\int_{0}^{π} ∣ cos (x) ∣ d x

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\frac{d}{d x} (e^{- 8 x} cos (8 x))

sum from n=0 to infinity of e^{-n-1}

n = 0 \sum \infty e^{- n - 1}

Frequently Asked Questions (FAQ)

What is the limit as x approaches 0 of |x| ?
The limit as x approaches 0 of |x| is 0