What is the limit as h approaches 0 of ((h+2)^2-4)/h ?

The limit as h approaches 0 of ((h+2)^2-4)/h is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as h approaches 0 of ((h+2)^2-4)/h

h \to 0 lim (\frac{( h + 2 ) ^{2} - 4}{h})

4

Solution steps

h \to 0 lim (\frac{( h + 2 ) ^{2} - 4}{h})

Simplify

\frac{( h + 2 ) ^{2} - 4}{h} : h + 4

= h \to 0 lim (h + 4)

Plug in the value

h = 0

= 0 + 4

Simplify

= 4

y = \frac{2 x}{x + 5}, (5, 1)

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

\frac{d}{d x} (1 + 6 x)

x - 2

\frac{d}{d x} (\frac{x}{x + y})

What is the limit as h approaches 0 of ((h+2)^2-4)/h ?
The limit as h approaches 0 of ((h+2)^2-4)/h is 4