What is the limit as x approaches-7+of (2x+1)/(x+7) ?

The limit as x approaches-7+of (2x+1)/(x+7) is -infinity

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limit as x approaches-7+of (2x+1)/(x+7)

x \to - 7 + lim (\frac{2 x + 1}{x + 7})

- \infty

Solution steps

x \to - 7 + lim (\frac{2 x + 1}{x + 7})

\frac{2 x + 1}{x + 7} = (2 x + 1) \frac{1}{x + 7}

= x \to - 7 + lim ((2 x + 1) \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 (2 x + 1) \cdot x \to - 7 + lim (\frac{1}{x + 7})

x \to - 7 + lim (2 x + 1) = - 13

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

= (- 13) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to 0 lim (\frac{x ^{2} - x}{x ^{2}})

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

x \to - 1 lim (2 x^{3} - \frac{3}{x - 1})

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

x \to \infty lim ((- 1) x)

What is the limit as x approaches-7+of (2x+1)/(x+7) ?
The limit as x approaches-7+of (2x+1)/(x+7) is -infinity