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

The limit as x approaches 2 of (2x)/(3x+1) is 4/7

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

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

\frac{4}{7}

Decimal Notation

0.57142 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{4}{7}

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

\int \frac{x ^{2} - 121}{x} d x

k = 1 \sum \infty \frac{( - 1 ) ^{k} \cdot ( 1 ) ^{(3 \cdot k)}}{k}

\int x y (x + y) d y

n = 0 \sum \infty \frac{2 ^{n}}{n !}

What is the limit as x approaches 2 of (2x)/(3x+1) ?
The limit as x approaches 2 of (2x)/(3x+1) is 4/7