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

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

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limit as z approaches 0 of (sin(z))/z

z \to 0 lim (\frac{sin ( z )}{z})

1

Solution steps

z \to 0 lim (\frac{sin ( z )}{z})

Apply L'Hopital's Rule

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

Plug in the value

z = 0

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

Simplify

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

= 1

d er i v a t i v e f (x) = \frac{4}{x ^{5}}

d er i v a t i v e 11 e^{x^{2}}

\int - 1 (x - 4) d x

\frac{d}{d x} ((2 x^{2} + 7) (8 x - 4))

\frac{d}{d x} (x^{- \frac{1}{2}} \cdot cos (x))

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