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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{d}{d x} (x^{4} - 9 x + 6)

\frac{d}{d x} (a tan (x))

\int \frac{t ^{2}}{a ^{4} + t ^{2}} d t

\int (\frac{5}{x ^{2}}) d x

f (x) = (x^{2} - 4) \cdot (x + 4)

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