What is the limit as x approaches-0.1 of (sin(3x))/x ?

The limit as x approaches-0.1 of (sin(3x))/x is 2.95520…

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limit as x approaches-0.1 of (sin(3x))/x

x \to - 0.1 lim (\frac{sin ( 3 x )}{x})

2.95520 \dots

Solution steps

x \to - 0.1 lim (\frac{sin ( 3 x )}{x})

Plug in the value

x = - 0.1

= \frac{sin ( 3 ( - 0.1 ) )}{- 0.1}

Simplify

\frac{sin ( 3 ( - 0.1 ) )}{- 0.1} : 2.95520 \dots

= 2.95520 \dots

x^{^{''}} + 3 x^{^{'}} + 6 x = 0

\frac{d}{d x} (x^{2} - 6)

\int_{0}^{2} \frac{2 x}{( x ^{2} + 3 ) ^{2}} d x

(14, 448), (1, y)

What is the limit as x approaches-0.1 of (sin(3x))/x ?
The limit as x approaches-0.1 of (sin(3x))/x is 2.95520…