What is the limit as x approaches-2 of (5x+3)/(2x-9) ?

The limit as x approaches-2 of (5x+3)/(2x-9) is 7/13

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limit as x approaches-2 of (5x+3)/(2x-9)

x \to - 2 lim (\frac{5 x + 3}{2 x - 9})

\frac{7}{13}

Decimal

0.53846 \dots

Solution steps

x \to - 2 lim (\frac{5 x + 3}{2 x - 9})

Plug in the value

x = - 2

= \frac{5 ( - 2 ) + 3}{2 ( - 2 ) - 9}

Simplify

\frac{5 ( - 2 ) + 3}{2 ( - 2 ) - 9} : \frac{7}{13}

= \frac{7}{13}

What is the limit as x approaches-2 of (5x+3)/(2x-9) ?
The limit as x approaches-2 of (5x+3)/(2x-9) is 7/13