What is the limit as x approaches pi/2 of cos(pi+x) ?

The limit as x approaches pi/2 of cos(pi+x) is 0

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limit as x approaches pi/2 of cos(pi+x)

x \to \frac{π}{2} lim (cos (π + x))

0

Solution steps

x \to \frac{π}{2} lim (cos (π + x))

Plug in the value

x = \frac{π}{2}

= cos (π + \frac{π}{2})

Simplify

cos (π + \frac{π}{2}) : 0

= 0

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What is the limit as x approaches pi/2 of cos(pi+x) ?
The limit as x approaches pi/2 of cos(pi+x) is 0