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

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

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 (2x+1)/(x+3)

x \to 0 lim (\frac{2 x + 1}{x + 3})

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to 0 lim (\frac{2 x + 1}{x + 3})

Plug in the value

x = 0

= \frac{2 \cdot 0 + 1}{0 + 3}

Simplify

= \frac{1}{3}

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

\frac{\partial}{\partial x} (x^{\frac{1}{2}} y^{\frac{3}{2}})

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

y^{^{'}} = y^{3}, y (0) = a

\frac{\partial}{\partial x} (e^{x + y^{2}})

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