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

The limit as x approaches 1 of (cos(pix))/3 is -1/3

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limit as x approaches 1 of (cos(pix))/3

x \to 1 lim (\frac{cos ( π x )}{3})

- \frac{1}{3}

Decimal

- 0.33333 \dots

Solution steps

x \to 1 lim (\frac{cos ( π x )}{3})

Plug in the value

x = 1

= \frac{cos ( π 1 )}{3}

Simplify

\frac{cos ( π 1 )}{3} : - \frac{1}{3}

= - \frac{1}{3}

What is the limit as x approaches 1 of (cos(pix))/3 ?
The limit as x approaches 1 of (cos(pix))/3 is -1/3