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

2 x^{3} - x^{2} - 5 x, - x^{2} + 3 x, 0, 2

\frac{d y}{d x} = \frac{1}{4 - x ^{2}}, y (0) = π

\int 5 tan^{3} (x) sec (x) d x

y^{^{'}} = (1 + t) \cdot y, y (0) = 1

\int \frac{1}{sec ( x )} d x

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