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

The limit as x approaches-4-of (x+3)/(x+4) is infinity

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

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

\infty

Solution steps

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

\frac{x + 3}{x + 4} = (x + 3) \frac{1}{x + 4}

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

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

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

x \to - 4 - lim (x + 3) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

f (x) = x 8 - x^{2}

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

\int 0.02

\int \frac{sin ( x )}{7 - cos ^{2} ( x )} d x

\int \frac{x ^{3} - 11 x - 26}{x ^{2} - 2 x - 8} d x

What is the limit as x approaches-4-of (x+3)/(x+4) ?
The limit as x approaches-4-of (x+3)/(x+4) is infinity