What is the limit as x approaches 2 of (3x+4)/(5x+7) ?

The limit as x approaches 2 of (3x+4)/(5x+7) is 10/17

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limit as x approaches 2 of (3x+4)/(5x+7)

x \to 2 lim (\frac{3 x + 4}{5 x + 7})

\frac{10}{17}

Decimal Notation

0.58823 \dots

Solution steps

x \to 2 lim (\frac{3 x + 4}{5 x + 7})

Plug in the value

x = 2

= \frac{3 \cdot 2 + 4}{5 \cdot 2 + 7}

Simplify

= \frac{10}{17}

\frac{d}{d x} (\frac{1}{cos ( x )} + \frac{1}{sin ( x + 1 )})

\frac{d}{d θ} (\frac{e ^{i θ} + e ^{- i θ}}{2})

y = \frac{t - t}{t ^{\frac{1}{3}}}

\int \frac{4 x + 5}{x ^{2} + 1} d x

\frac{d}{d x} (x^{2} \cdot e^{4 x})

What is the limit as x approaches 2 of (3x+4)/(5x+7) ?
The limit as x approaches 2 of (3x+4)/(5x+7) is 10/17