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

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

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

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

1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

m = 0

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

Simplify

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

= 1

x \to 1 - lim (\frac{arccos ( x )}{1 - x ^{2}})

x \to - 6 + lim (\frac{x}{x + 6})

x \to 2 lim (3 x^{2} + 4)

x \to 5 - lim (\frac{- 3}{x - 5})

x \to 1 lim (3 x - 2)

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