What is the limit as x approaches 0 of-2sin(3x) ?

The limit as x approaches 0 of-2sin(3x) is 0

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limit as x approaches 0 of-2sin(3x)

x \to 0 lim (- 2 sin (3 x))

0

Solution steps

x \to 0 lim (- 2 sin (3 x))

Plug in the value

x = 0

= - 2 sin (3 \cdot 0)

Simplify

- 2 sin (3 \cdot 0) : 0

= 0

x \to 4 + lim (\frac{3}{4 - x})

x \to 0 + lim (3 (x^{\frac{x}{2}}))

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

x \to 8 lim (\frac{2 x - 3}{x})

x \to a + 1 lim (x - 1)

What is the limit as x approaches 0 of-2sin(3x) ?
The limit as x approaches 0 of-2sin(3x) is 0