What is the limit as x approaches 2 of (3x)/(5+8x) ?

The limit as x approaches 2 of (3x)/(5+8x) is 2/7

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limit as x approaches 2 of (3x)/(5+8x)

x \to 2 lim (\frac{3 x}{5 + 8 x})

\frac{2}{7}

Decimal

0.28571 \dots

Solution steps

x \to 2 lim (\frac{3 x}{5 + 8 x})

Plug in the value

x = 2

= \frac{3 \cdot 2}{5 + 8 \cdot 2}

Simplify

\frac{3 \cdot 2}{5 + 8 \cdot 2} : \frac{2}{7}

= \frac{2}{7}

x \to \frac{π}{4} lim (\frac{x}{tan ( x )})

x \to \infty lim (3^{2 x})

x \to 1 - lim (\frac{3 x + 65 - 4}{x + 1})

x \to 0 lim ([x (x - 2)])

x \to - 5 lim (- 2 x - 5)

What is the limit as x approaches 2 of (3x)/(5+8x) ?
The limit as x approaches 2 of (3x)/(5+8x) is 2/7