What is the limit as x approaches 6+of (x+3)/(6-x) ?

The limit as x approaches 6+of (x+3)/(6-x) is -infinity

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limit as x approaches 6+of (x+3)/(6-x)

x \to 6 + lim (\frac{x + 3}{6 - x})

- \infty

Solution steps

x \to 6 + lim (\frac{x + 3}{6 - x})

\frac{x + 3}{6 - x} = (x + 3) \frac{1}{6 - x}

= x \to 6 + lim ((x + 3) \frac{1}{6 - x})

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 6 + lim (x + 3) \cdot x \to 6 + lim (\frac{1}{6 - x})

x \to 6 + lim (x + 3) = 9

x \to 6 + lim (\frac{1}{6 - x}) = - \infty

= 9 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{1}{s ( s - 1 ) ^{2}}

\frac{d}{d x} (\frac{q ^{2} + 45 q + 875}{3}) = 0

f (x) = 8 x - 3 x^{2}, (- 3, - 51)

e^{3}

f (x) = - 3 x

What is the limit as x approaches 6+of (x+3)/(6-x) ?
The limit as x approaches 6+of (x+3)/(6-x) is -infinity