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

The limit as x approaches 0 of |sin(x)|-1/2 is -1/2

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

x \to 0 lim (∣ sin (x) ∣ - \frac{1}{2})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

x \to 0 lim (∣ sin (x) ∣ - \frac{1}{2})

Plug in the value

x = 0

= ∣ sin (0) ∣ - \frac{1}{2}

Simplify

∣ sin (0) ∣ - \frac{1}{2} : - \frac{1}{2}

= - \frac{1}{2}

x \to 8 lim (\frac{3}{10})

x \to 0 lim (3 x \cdot cot (3 x))

x \to 0 + lim ((7 x)^{2 x})

x \to 0 lim (1 - 4 x)

x \to 0 lim (\frac{x + 2}{x + 5})

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