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

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

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limit as x approaches 0 of tan(x)+pi/2

x \to 0 lim (tan (x) + \frac{π}{2})

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to 0 lim (tan (x) + \frac{π}{2})

Plug in the value

x = 0

= tan (0) + \frac{π}{2}

Simplify

tan (0) + \frac{π}{2} : \frac{π}{2}

= \frac{π}{2}

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