What is the limit as x approaches 0 of (5x)/(x^2+5x) ?

The limit as x approaches 0 of (5x)/(x^2+5x) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (5x)/(x^2+5x)

x \to 0 lim (\frac{5 x}{x ^{2} + 5 x})

1

Solution steps

x \to 0 lim (\frac{5 x}{x ^{2} + 5 x})

Simplify

\frac{5 x}{x ^{2} + 5 x} : \frac{5}{x + 5}

= x \to 0 lim (\frac{5}{x + 5})

Plug in the value

x = 0

= \frac{5}{0 + 5}

Simplify

= 1

\frac{d y}{d x} + 2 y = e^{x} y^{- 6}

\int \frac{( ln ( x ) ) 2}{x} d x

\int 2 x (x^{2} + 6)^{7} d x

in v erse l a pl a ce {\frac{1}{4 s + 1}}

\int (5 sec (x) - cos (x))^{2} d x

What is the limit as x approaches 0 of (5x)/(x^2+5x) ?
The limit as x approaches 0 of (5x)/(x^2+5x) is 1