What is the limit as x approaches pi-of (x-pi)cot(x) ?

The limit as x approaches pi-of (x-pi)cot(x) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches pi-of (x-pi)cot(x)

x \to π - lim ((x - π) cot (x))

1

Solution steps

x \to π - lim ((x - π) cot (x))

Rewrite for L'Hopital

= x \to π - lim (\frac{x - π}{\frac{1}{c o t ( x )}})

Apply L'Hopital's Rule

: x \to π - lim (\frac{1}{sec ^{2} ( x )})

= x \to π - lim (\frac{1}{sec ^{2} ( x )})

Plug in the value

x = π

= \frac{1}{sec ^{2} ( π )}

Simplify

\frac{1}{sec ^{2} ( π )} : 1

= 1

\int 3 sin (2 x) d x

16 \frac{d ^{4} y}{d x ^{4}} + 48 \frac{d ^{2} y}{d x ^{2}} + 36 y = 0

x, x^{2} - 4 x + 3

\frac{\partial}{\partial x} (ln (1 + x^{2} y^{2}))

\frac{d y}{d x} = \frac{x - 2}{y - 2}

What is the limit as x approaches pi-of (x-pi)cot(x) ?
The limit as x approaches pi-of (x-pi)cot(x) is 1