What is the limit as x approaches 0 of (sin(13x))/x ?

The limit as x approaches 0 of (sin(13x))/x is 13

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limit as x approaches 0 of (sin(13x))/x

x \to 0 lim (\frac{sin ( 13 x )}{x})

13

Solution steps

x \to 0 lim (\frac{sin ( 13 x )}{x})

Apply L'Hopital's Rule

= x \to 0 lim (\frac{cos ( 13 x ) \cdot 13}{1})

Plug in the value

x = 0

= \frac{cos ( 13 \cdot 0 ) \cdot 13}{1}

Simplify

\frac{cos ( 13 \cdot 0 ) \cdot 13}{1} : 13

= 13

\int \frac{2900}{1 + 0.25 x} d x

t an g e n t f (x) = \frac{1}{4 x}, at x = 9

\frac{d}{d x} (5 x - 32 x)

\int \frac{5000 q}{25 q + 1500} d q

\int_{0}^{1} 40 x d x

What is the limit as x approaches 0 of (sin(13x))/x ?
The limit as x approaches 0 of (sin(13x))/x is 13