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) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int x^{2} sec^{2} (x) tan (x) d x

y = x^{2} - 4, y = 2 - 5 x^{2}

x \to 0 lim (\frac{6 sin ( 2 x )}{x})

(2, - 14), (1, - 11)

\int \frac{5}{x ^{3} + 2 x ^{2} - 35 x} 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