What is the limit as x approaches pi/2+of 3tan(x) ?

The limit as x approaches pi/2+of 3tan(x) is -infinity

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limit as x approaches pi/2+of 3tan(x)

x \to \frac{π}{2} + lim (3 tan (x))

- \infty

Solution steps

x \to \frac{π}{2} + lim (3 tan (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 3 \cdot x \to \frac{π}{2} + lim (tan (x))

Apply the common limit:

x \to \frac{π}{2} + lim (tan (x)) = - \infty

= 3 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

What is the limit as x approaches pi/2+of 3tan(x) ?
The limit as x approaches pi/2+of 3tan(x) is -infinity