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

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

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

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

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

\frac{2 + 2}{3 \cdot 2} : \frac{2}{3}

= \frac{2}{3}

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

\frac{\partial}{\partial x} (6 tan (x y))

n = 1 \sum \infty sin (\frac{1}{2 ^{n}})

2 \cdot cos (5 t)

\frac{\partial}{\partial y} (e^{5 x} sin (5 y))

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