What is the limit as x approaches 0 of (2x+1)/(|x|) ?

The limit as x approaches 0 of (2x+1)/(|x|) is infinity

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limit as x approaches 0 of (2x+1)/(|x|)

x \to 0 lim (\frac{2 x + 1}{∣ x ∣})

\infty

Solution steps

x \to 0 lim (\frac{2 x + 1}{∣ x ∣})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{2 x + 1}{∣ x ∣}) = \infty

x \to 0 + lim (\frac{2 x + 1}{∣ x ∣}) = \infty

= \infty

y^{^{''}} - 4 y^{^{'}} - 4 y = 0

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\frac{sin ( x ^{2} - 5 )}{2 x}

x \to 1 lim (\frac{x ^{2} - 1}{x + 1})

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What is the limit as x approaches 0 of (2x+1)/(|x|) ?
The limit as x approaches 0 of (2x+1)/(|x|) is infinity