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

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

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

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

- \infty

Solution steps

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

For

x

approaching

3

from the left

, x < 3 \Rightarrow x - 3 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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