What is the limit as x approaches-8+of (x+9)/(x+8) ?

The limit as x approaches-8+of (x+9)/(x+8) is infinity

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limit as x approaches-8+of (x+9)/(x+8)

x \to - 8 + lim (\frac{x + 9}{x + 8})

\infty

Solution steps

x \to - 8 + lim (\frac{x + 9}{x + 8})

\frac{x + 9}{x + 8} = (x + 9) \frac{1}{x + 8}

= x \to - 8 + lim ((x + 9) \frac{1}{x + 8})

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 - 8 + lim (x + 9) \cdot x \to - 8 + lim (\frac{1}{x + 8})

x \to - 8 + lim (x + 9) = 1

x \to - 8 + lim (\frac{1}{x + 8}) = \infty

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = x^{2} - 2 x, at x = - 2

\int \frac{1}{t ^{5}} d t

f (x) = x^{4} + 6 x^{2} - x, (1, 6)

\frac{3}{x ^{7}}

2 x y^{^{'}} + 7 y = 7 x^{4}, y (1) = 4

What is the limit as x approaches-8+of (x+9)/(x+8) ?
The limit as x approaches-8+of (x+9)/(x+8) is infinity