What is the limit as x approaches-5 of sin(pi/3 x) ?

The limit as x approaches-5 of sin(pi/3 x) is (sqrt(3))/2

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limit as x approaches-5 of sin(pi/3 x)

x \to - 5 lim (sin (\frac{π}{3} x))

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

x \to - 5 lim (sin (\frac{π}{3} x))

Plug in the value

x = - 5

= sin (\frac{π}{3} (- 5))

Simplify

sin (\frac{π}{3} (- 5)) : \frac{3}{2}

= \frac{3}{2}

What is the limit as x approaches-5 of sin(pi/3 x) ?
The limit as x approaches-5 of sin(pi/3 x) is (sqrt(3))/2