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

The limit as x approaches 0 of xcsc(2x) is 1/2

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 xcsc(2x)

x \to 0 lim (x csc (2 x))

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 0 lim (x csc (2 x))

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (x csc (2 x)) = \frac{1}{2}

x \to 0 + lim (x csc (2 x)) = \frac{1}{2}

= \frac{1}{2}

x \to \frac{π}{2} lim ((1 + cos (x))^{3 s e c (x)})

x \to 0 + lim (x cos (\frac{1}{x}))

x \to 1 lim (\frac{x ^{2}}{ln ( x )})

x \to 0 lim (\frac{x + cos ( x )}{x})

x \to 0 + lim ((x + sin (x))^{x})

What is the limit as x approaches 0 of xcsc(2x) ?
The limit as x approaches 0 of xcsc(2x) is 1/2