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

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

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

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

- \infty

Solution steps

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

For

x

approaching

3

from the right

, x > 3 \Rightarrow 3 - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 2 lim (\frac{x ^{3}}{x ^{2} - 4})

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

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

x \to - 3 + lim (x^{2} - 4)

x \to 0 lim (\frac{2}{3})

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