What is the limit as x approaches-9+of (x+10)/(x+9) ?

The limit as x approaches-9+of (x+10)/(x+9) is infinity

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limit as x approaches-9+of (x+10)/(x+9)

x \to - 9 + lim (\frac{x + 10}{x + 9})

\infty

Solution steps

x \to - 9 + lim (\frac{x + 10}{x + 9})

\frac{x + 10}{x + 9} = (x + 10) \frac{1}{x + 9}

= x \to - 9 + lim ((x + 10) \frac{1}{x + 9})

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 - 9 + lim (x + 10) \cdot x \to - 9 + lim (\frac{1}{x + 9})

x \to - 9 + lim (x + 10) = 1

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to - 2 + lim (- 3 x + 5)

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

\int \frac{1}{2 + 7 x ^{2}} d x

\frac{d}{d x} ((\frac{1}{2})^{x})

y^{^{''}} - 9 y^{^{'}} + 3 y = x e^{x}

What is the limit as x approaches-9+of (x+10)/(x+9) ?
The limit as x approaches-9+of (x+10)/(x+9) is infinity