What is the limit as x approaches-4-of (x+5)/(x+4) ?

The limit as x approaches-4-of (x+5)/(x+4) is -infinity

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limit as x approaches-4-of (x+5)/(x+4)

x \to - 4 - lim (\frac{x + 5}{x + 4})

- \infty

Solution steps

x \to - 4 - lim (\frac{x + 5}{x + 4})

\frac{x + 5}{x + 4} = (x + 5) \frac{1}{x + 4}

= x \to - 4 - lim ((x + 5) \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 + 5) \cdot x \to - 4 - lim (\frac{1}{x + 4})

x \to - 4 - lim (x + 5) = 1

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

= 1 \cdot (- \infty)

Apply Infinity Property:

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

= - \infty

x \to - \infty lim (\frac{3 x ^{2} + 6}{5 - 2 x})

x \to 0 lim (ln (x) ln (1 - x))

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

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

h \to 0 lim (\frac{2}{h})

What is the limit as x approaches-4-of (x+5)/(x+4) ?
The limit as x approaches-4-of (x+5)/(x+4) is -infinity