What is the limit as x approaches-1/2 of-7/(|2x+1|) ?

The limit as x approaches-1/2 of-7/(|2x+1|) is -infinity

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limit as x approaches-1/2 of-7/(|2x+1|)

x \to - \frac{1}{2} lim (- \frac{7}{∣ 2 x + 1 ∣})

- \infty

Solution steps

x \to - \frac{1}{2} lim (- \frac{7}{∣ 2 x + 1 ∣})

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

then

x \to a lim f (x) = L

x \to - \frac{1}{2} - lim (- \frac{7}{∣ 2 x + 1 ∣}) = - \infty

x \to - \frac{1}{2} + lim (- \frac{7}{∣ 2 x + 1 ∣}) = - \infty

= - \infty

x \to 0 lim ([x - 2] \cdot [x + 3])

x \to + 0 lim (x^{s i n (x)})

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

x \to 0 lim ((1 - x) \frac{1}{x})

x \to 4 lim (\frac{1}{x})

What is the limit as x approaches-1/2 of-7/(|2x+1|) ?
The limit as x approaches-1/2 of-7/(|2x+1|) is -infinity