What is the limit as x approaches 4 of (x-4)/(x^2+3x-28) ?

The limit as x approaches 4 of (x-4)/(x^2+3x-28) is 1/11

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limit as x approaches 4 of (x-4)/(x^2+3x-28)

x \to 4 lim (\frac{x - 4}{x ^{2} + 3 x - 28})

\frac{1}{11}

Decimal Notation

0.09090 \dots

Solution steps

x \to 4 lim (\frac{x - 4}{x ^{2} + 3 x - 28})

Simplify

\frac{x - 4}{x ^{2} + 3 x - 28} : \frac{1}{x + 7}

= x \to 4 lim (\frac{1}{x + 7})

Plug in the value

x = 4

= \frac{1}{4 + 7}

Simplify

= \frac{1}{11}

x \to \infty lim (\frac{x}{12})

\frac{d}{d x} (\frac{x - 7}{x + 5})

\frac{d}{d x} (\frac{0.3 ( 9 ^{x} )}{x ^{3}})

\frac{\partial}{\partial x} (x^{2} yz - x y z^{5})

y^{^{'''}} - y^{^{''}} + 7 y^{^{'}} - 7 y = 0

What is the limit as x approaches 4 of (x-4)/(x^2+3x-28) ?
The limit as x approaches 4 of (x-4)/(x^2+3x-28) is 1/11