What is the limit as x approaches-5 of (4(2x+3)^2-196)/(x+5) ?

The limit as x approaches-5 of (4(2x+3)^2-196)/(x+5) is -112

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limit as x approaches-5 of (4(2x+3)^2-196)/(x+5)

x \to - 5 lim (\frac{4 ( 2 x + 3 ) ^{2} - 196}{x + 5})

- 112

Solution steps

x \to - 5 lim (\frac{4 ( 2 x + 3 ) ^{2} - 196}{x + 5})

Simplify

\frac{4 ( 2 x + 3 ) ^{2} - 196}{x + 5} : 16 (x - 2)

= x \to - 5 lim (16 (x - 2))

Plug in the value

x = - 5

= 16 (- 5 - 2)

Simplify

= - 112

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What is the limit as x approaches-5 of (4(2x+3)^2-196)/(x+5) ?
The limit as x approaches-5 of (4(2x+3)^2-196)/(x+5) is -112