What is the limit as x approaches x/4 of (sin(x))/x ?

The limit as x approaches x/4 of (sin(x))/x is (4sin(x/4))/x

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limit as x approaches x/4 of (sin(x))/x

x \to \frac{x}{4} lim (\frac{sin ( x )}{x})

\frac{4 sin ( \frac{x}{4} )}{x}

Solution steps

x \to \frac{x}{4} lim (\frac{sin ( x )}{x})

Plug in the value

x = \frac{x}{4}

= \frac{sin ( \frac{x}{4} )}{\frac{x}{4}}

Simplify

= \frac{4 sin ( \frac{x}{4} )}{x}

What is the limit as x approaches x/4 of (sin(x))/x ?
The limit as x approaches x/4 of (sin(x))/x is (4sin(x/4))/x