What is the limit as x approaches 7+of (x+6)/(x-7) ?

The limit as x approaches 7+of (x+6)/(x-7) is infinity

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limit as x approaches 7+of (x+6)/(x-7)

x \to 7 + lim (\frac{x + 6}{x - 7})

\infty

Solution steps

x \to 7 + lim (\frac{x + 6}{x - 7})

\frac{x + 6}{x - 7} = (x + 6) \frac{1}{x - 7}

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

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 7 + lim (x + 6) \cdot x \to 7 + lim (\frac{1}{x - 7})

x \to 7 + lim (x + 6) = 13

x \to 7 + lim (\frac{1}{x - 7}) = \infty

= 13 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 3 lim (\frac{x - 3}{9 - x ^{2}})

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

x \to 1000 lim (x^{\frac{4}{3}})

e^{x^{x}}

\int_{- 1}^{1} (x^{2} - \frac{1}{3})^{2} d x

What is the limit as x approaches 7+of (x+6)/(x-7) ?
The limit as x approaches 7+of (x+6)/(x-7) is infinity