What is the limit as x approaches 2 of (3x+4)/(8x-1) ?

The limit as x approaches 2 of (3x+4)/(8x-1) is 2/3

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limit as x approaches 2 of (3x+4)/(8x-1)

x \to 2 lim (\frac{3 x + 4}{8 x - 1})

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

x \to 2 lim (\frac{3 x + 4}{8 x - 1})

Plug in the value

x = 2

= \frac{3 \cdot 2 + 4}{8 \cdot 2 - 1}

Simplify

\frac{3 \cdot 2 + 4}{8 \cdot 2 - 1} : \frac{2}{3}

= \frac{2}{3}

\int \frac{1}{u 3 - u ^{2}} d u

\int x x^{'} d x

\frac{400}{s ( s ^{2} + 200 )}

x \to \infty lim (3^{- x})

\frac{d}{d x} ((x - 1) (ln (x)))

What is the limit as x approaches 2 of (3x+4)/(8x-1) ?
The limit as x approaches 2 of (3x+4)/(8x-1) is 2/3