What is the limit as x approaches-7+of (x-4)/(x+7) ?

The limit as x approaches-7+of (x-4)/(x+7) is -infinity

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limit as x approaches-7+of (x-4)/(x+7)

x \to - 7 + lim (\frac{x - 4}{x + 7})

- \infty

Solution steps

x \to - 7 + lim (\frac{x - 4}{x + 7})

\frac{x - 4}{x + 7} = (x - 4) \frac{1}{x + 7}

= x \to - 7 + lim ((x - 4) \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 - 4) \cdot x \to - 7 + lim (\frac{1}{x + 7})

x \to - 7 + lim (x - 4) = - 11

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

= (- 11) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (7 + 8 x y)

x \to 0 lim (\frac{1}{2 x})

\frac{d}{d x} (5 x - e)

\frac{\partial}{\partial x} (\frac{6 x - 7 y}{y ^{2} + x ^{2}})

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{6}) = 0

What is the limit as x approaches-7+of (x-4)/(x+7) ?
The limit as x approaches-7+of (x-4)/(x+7) is -infinity