What is the limit as x approaches 4+of (2x-14)/(x-4) ?

The limit as x approaches 4+of (2x-14)/(x-4) is -infinity

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limit as x approaches 4+of (2x-14)/(x-4)

x \to 4 + lim (\frac{2 x - 14}{x - 4})

- \infty

Solution steps

x \to 4 + lim (\frac{2 x - 14}{x - 4})

\frac{2 x - 14}{x - 4} = (2 x - 14) \frac{1}{x - 4}

= x \to 4 + lim ((2 x - 14) \frac{1}{x - 4})

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 4 + lim (2 x - 14) \cdot x \to 4 + lim (\frac{1}{x - 4})

x \to 4 + lim (2 x - 14) = - 6

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

= (- 6) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to 7 lim (8 x)

x \to 0 lim (\frac{sin ( - 3 x )}{x})

x \to 0 + lim ((4 x)^{5 x})

x \to 0 + lim (tan (x) cot (x))

x \to 0 - lim (x^{5} + \frac{1}{x})

What is the limit as x approaches 4+of (2x-14)/(x-4) ?
The limit as x approaches 4+of (2x-14)/(x-4) is -infinity