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

The limit as x approaches pi/2 of tan^2(x) is infinity

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limit as x approaches pi/2 of tan^2(x)

x \to \frac{π}{2} lim (tan^{2} (x))

\infty

Solution steps

x \to \frac{π}{2} lim (tan^{2} (x))

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

= (x \to \frac{π}{2} lim (tan (x)))^{2}

Apply the common limit:

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

= (- \infty)^{2}

Apply Infinity Property:

(- \infty)^{n} = \infty, n

is even

= \infty

y^{^{''}} + 2 y^{^{'}} + y = sin (x) + 6 cos (2 x)

\frac{d}{d x} (\frac{x}{( 1 + x ^{2} ) ^{\frac{1}{2}}})

x \to + 4 + lim (\frac{3}{x - 4})

\frac{\partial}{\partial x} (- 5 e^{x} \cdot cos (yz))

x \to - 2 lim (x^{3} + 6 x^{2} - 16)

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