What is the limit as x approaches 0 of cot^2(x) ?

The limit as x approaches 0 of cot^2(x) is infinity

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limit as x approaches 0 of cot^2(x)

x \to 0 lim (cot^{2} (x))

\infty

Solution steps

x \to 0 lim (cot^{2} (x))

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

With the exception of indeterminate form

= (x \to 0 lim (cot (x)))^{2}

Apply the common limit:

x \to 0 lim (cot (x)) = \infty

= \infty^{2}

Apply Infinity Property:

\infty^{c} = \infty

= \infty

x \to 2 lim (\frac{1}{x - 2})

\int \frac{x ^{2} + 4 x + 1}{x ^{3} + x} d x

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

\int - sin (x) cos^{2} (x) d x

\frac{( 1 - 4 x )}{1 + 4 x}

What is the limit as x approaches 0 of cot^2(x) ?
The limit as x approaches 0 of cot^2(x) is infinity