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

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

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

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

\infty

Solution steps

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

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

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

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

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

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{\partial}{\partial x} (2 e^{- y} x)

\int \frac{sin ( 2 x )}{37 + cos ^{2} ( x )} d x

\int x \cdot lo g_{10} (x) d x

m \to 4 lim (\frac{3 m ^{2} - 8 m - 16}{2 m ^{2} - 9 m + 4})

\int 8 y - 24 d y

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