What is the limit as x approaches 0 of (-2x(x+2))/(4x^2-3x-7) ?

The limit as x approaches 0 of (-2x(x+2))/(4x^2-3x-7) is 0

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limit as x approaches 0 of (-2x(x+2))/(4x^2-3x-7)

x \to 0 lim (\frac{- 2 x ( x + 2 )}{4 x ^{2} - 3 x - 7})

0

Solution steps

x \to 0 lim (\frac{- 2 x ( x + 2 )}{4 x ^{2} - 3 x - 7})

Plug in the value

x = 0

= \frac{- 2 \cdot 0 \cdot ( 0 + 2 )}{4 \cdot 0 ^{2} - 3 \cdot 0 - 7}

Simplify

\frac{- 2 \cdot 0 \cdot ( 0 + 2 )}{4 \cdot 0 ^{2} - 3 \cdot 0 - 7} : 0

= 0

\frac{d}{d x} (3 x^{3} + 2)

f (x) = - 4 - 5 x^{2}, (- 5, - 129)

\int sin^{3} (y) cos^{6} (y) d y

b \cdot ln (\frac{x}{a})

\frac{\partial}{\partial y} (\frac{x + 5}{y + 1})

What is the limit as x approaches 0 of (-2x(x+2))/(4x^2-3x-7) ?
The limit as x approaches 0 of (-2x(x+2))/(4x^2-3x-7) is 0