What is the limit as x approaches 6-of (x+1)/(x-6) ?

The limit as x approaches 6-of (x+1)/(x-6) is -infinity

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limit as x approaches 6-of (x+1)/(x-6)

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

- \infty

Solution steps

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

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

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

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

x \to 6 - lim (x + 1) = 7

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

= 7 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{d}{d x} (\frac{4 x ^{2} - 3}{x + 4})

\frac{d}{d x} ((2 x + 8)^{2})

x \to 0 lim (\frac{sin ( 5 ) ( x )}{x})

\int \frac{3 x}{( 3 x ^{2} + 2 ) ^{3}} d x

arccos (1) (4 x^{2})

What is the limit as x approaches 6-of (x+1)/(x-6) ?
The limit as x approaches 6-of (x+1)/(x-6) is -infinity