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

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

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

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

5

Solution steps

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

Simplify

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

= x \to 4 lim (x + 1)

Plug in the value

x = 4

= 4 + 1

Simplify

= 5

\frac{d}{d x} (\frac{3 x + 5}{x ^{2} + 4})

x \to 8 lim (4 x)

n = 1 \sum \infty 6 (\frac{5}{4})^{n}

n = 0 \sum \infty \frac{( 1 ^{n} )}{n !}

\frac{\partial}{\partial x} (x^{2} e^{x})

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