What is the limit as x approaches 0 of 1/((x-1)^2)+2 ?

The limit as x approaches 0 of 1/((x-1)^2)+2 is 3

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 1/((x-1)^2)+2

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

3

Solution steps

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

Plug in the value

x = 0

= \frac{1}{( 0 - 1 ) ^{2}} + 2

Simplify

\frac{1}{( 0 - 1 ) ^{2}} + 2 : 3

= 3

\frac{d y}{d x} + 10 y = 11

\frac{d}{d x} (x^{2} - 4 x + 10)

x \to 5 lim (\frac{1}{x ^{2} - 1})

\frac{d}{d x} (\frac{2 x ^{2} + 8 x + 4}{x})

What is the limit as x approaches 0 of 1/((x-1)^2)+2 ?
The limit as x approaches 0 of 1/((x-1)^2)+2 is 3