What is the limit as x approaches 3 of 1/((1-x)^4) ?

The limit as x approaches 3 of 1/((1-x)^4) is 1/16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 3 of 1/((1-x)^4)

x \to 3 lim (\frac{1}{( 1 - x ) ^{4}})

\frac{1}{16}

Decimal

0.0625

Solution steps

x \to 3 lim (\frac{1}{( 1 - x ) ^{4}})

Plug in the value

x = 3

= \frac{1}{( 1 - 3 ) ^{4}}

Simplify

\frac{1}{( 1 - 3 ) ^{4}} : \frac{1}{16}

= \frac{1}{16}

x \to 3 lim ((\frac{x}{x + 1})^{x})

x \to 3 lim (\frac{1}{( 1 - e ^{x} )})

x \to 3 lim (x^{7} ln (tan (x)))

x \to 3 lim (5 x \cdot cot^{2} (x))

x \to 3 lim (ln (x) + 99)

What is the limit as x approaches 3 of 1/((1-x)^4) ?
The limit as x approaches 3 of 1/((1-x)^4) is 1/16