What is the limit as x approaches b of ((x-b)^{20}-4x+4b)/(x-b) ?

The limit as x approaches b of ((x-b)^{20}-4x+4b)/(x-b) is -4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches b of ((x-b)^{20}-4x+4b)/(x-b)

x \to b lim (\frac{( x - b ) ^{20} - 4 x + 4 b}{x - b})

- 4

Solution steps

x \to b lim (\frac{( x - b ) ^{20} - 4 x + 4 b}{x - b})

Simplify

\frac{( x - b ) ^{20} - 4 x + 4 b}{x - b} : (x - b)^{19} - 4

= x \to b lim ((x - b)^{19} - 4)

Plug in the value

x = b

= (b - b)^{19} - 4

Simplify

= - 4

x \to 0 + lim (x tan (x))

x \to 0 lim ((sin (x)) x)

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

x \to 8 lim (10)

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

What is the limit as x approaches b of ((x-b)^{20}-4x+4b)/(x-b) ?
The limit as x approaches b of ((x-b)^{20}-4x+4b)/(x-b) is -4