What is the limit as x approaches 6-of 3/(x-6) ?

The limit as x approaches 6-of 3/(x-6) is -infinity

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limit as x approaches 6-of 3/(x-6)

x \to 6 - lim (\frac{3}{x - 6})

- \infty

Solution steps

x \to 6 - lim (\frac{3}{x - 6})

For

x

approaching

6

from the left

, x < 6 \Rightarrow x - 6 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int cot^{3} (a x) csc^{3} (a x) d x

\frac{d}{d x} ((6 x^{3} + 5 x^{2})^{2})

x \to - 2 lim (\frac{5 x}{2 + x})

\int \frac{x}{a} d x

n = 1 \sum \infty n (n - 1)

What is the limit as x approaches 6-of 3/(x-6) ?
The limit as x approaches 6-of 3/(x-6) is -infinity