What is the limit as x approaches 1/3 x of sin(x) ?

The limit as x approaches 1/3 x of sin(x) is sin(1/3 x)

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limit as x approaches 1/3 x of sin(x)

x \to \frac{1}{3} x lim (sin (x))

sin (\frac{1}{3} x)

Solution steps

x \to \frac{1}{3} x lim (sin (x))

Plug in the value

x = \frac{1}{3} x

= sin (\frac{1}{3} x)

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What is the limit as x approaches 1/3 x of sin(x) ?
The limit as x approaches 1/3 x of sin(x) is sin(1/3 x)