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

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

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

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

- 1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

= \frac{- cos ( 0 )}{1}

Simplify

\frac{- cos ( 0 )}{1} : - 1

= - 1

\frac{d}{d x} (e^{x} + cos (x))

\frac{d}{d x} (10 lo g_{10} (100 x))

\frac{d}{d x} (cos (2 x^{2} - 3))

f (x) = \frac{x ^{2}}{2 + x}

x^{2} - 2 x, x + 4

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