What is the limit as x approaches-4 of (3x^2+11x-4)/(x^2-16) ?

The limit as x approaches-4 of (3x^2+11x-4)/(x^2-16) is 13/8

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limit as x approaches-4 of (3x^2+11x-4)/(x^2-16)

x \to - 4 lim (\frac{3 x ^{2} + 11 x - 4}{x ^{2} - 16})

\frac{13}{8}

Decimal

1.625

Solution steps

x \to - 4 lim (\frac{3 x ^{2} + 11 x - 4}{x ^{2} - 16})

Simplify

\frac{3 x ^{2} + 11 x - 4}{x ^{2} - 16} : \frac{3 x - 1}{x - 4}

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

Plug in the value

x = - 4

= \frac{3 ( - 4 ) - 1}{- 4 - 4}

Simplify

\frac{3 ( - 4 ) - 1}{- 4 - 4} : \frac{13}{8}

= \frac{13}{8}

x \to 1 + lim (c^{2} - (x + 1) c)

x \to 0 lim (arcsin (2 x))

x \to 1 + lim (x^{\frac{9}{( x - 1 )}})

x \to 2 - lim (\frac{1}{x ( x - 2 )})

x \to 1 lim (\frac{f ( x )}{g ( x )})

What is the limit as x approaches-4 of (3x^2+11x-4)/(x^2-16) ?
The limit as x approaches-4 of (3x^2+11x-4)/(x^2-16) is 13/8