What is the limit as x approaches 0.5 of (sin(x))/x ?

The limit as x approaches 0.5 of (sin(x))/x is 0.95885…

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limit as x approaches 0.5 of (sin(x))/x

x \to 0.5 lim (\frac{sin ( x )}{x})

0.95885 \dots

Solution steps

x \to 0.5 lim (\frac{sin ( x )}{x})

Plug in the value

x = 0.5

= \frac{sin ( 0.5 )}{0.5}

Simplify

\frac{sin ( 0.5 )}{0.5} : 0.95885 \dots

= 0.95885 \dots

What is the limit as x approaches 0.5 of (sin(x))/x ?
The limit as x approaches 0.5 of (sin(x))/x is 0.95885…