What is the limit as x approaches 0 of (sin(15x))/x ?

The limit as x approaches 0 of (sin(15x))/x is 15

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limit as x approaches 0 of (sin(15x))/x

x \to 0 lim (\frac{sin ( 15 x )}{x})

15

Solution steps

x \to 0 lim (\frac{sin ( 15 x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( 15 x ) \cdot 15}{1})

= x \to 0 lim (\frac{cos ( 15 x ) \cdot 15}{1})

Plug in the value

x = 0

= \frac{cos ( 15 \cdot 0 ) \cdot 15}{1}

Simplify

\frac{cos ( 15 \cdot 0 ) \cdot 15}{1} : 15

= 15

\int e^{- 0.1 x} d x

x^{3} + y^{3} = 9, (1, 2)

\int (a^{2} - x^{2}) d x

\frac{d}{d x} (\frac{ln ( x )}{x ^{\frac{3}{2}}})

x \to 0 - lim (3 - \frac{4}{x})

What is the limit as x approaches 0 of (sin(15x))/x ?
The limit as x approaches 0 of (sin(15x))/x is 15