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

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

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limit as x approaches pi of csc^2(x)

x \to π lim (csc^{2} (x))

\infty

Solution steps

x \to π lim (csc^{2} (x))

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

With the exception of indeterminate form

= (x \to π lim (csc (x)))^{2}

Apply the common limit:

x \to π lim (csc (x)) = - \infty

= (- \infty)^{2}

Apply Infinity Property:

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

is even

= \infty

\frac{\partial}{\partial x} (\frac{1}{b} \cdot (a - p (b, x)))

\frac{d}{d x} (\frac{3 x}{9 - x ^{2}})

t^{3} - 3 t

x \to 3 lim (\frac{2}{x + 2})

\int_{0}^{\frac{π}{4}} 25 sin^{2} (x) d x

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