Originally Posted by

**SammyS** I'm considering each fraction separately.

For the denominator, $\displaystyle x^2+2x-3$, yes, the denominator approaches 0 from the positive (above) as x approaches -3 from the negative. However, the numerator, which is x, is approaching -3, so the first fraction approaches ____?____ .

For the denominator, $\displaystyle x+3$, the graph shows that this denominator approaches 0 from below (from the negative) as x approaches -3 from the negative. The numerator is positive, so this fraction approaches ____?____ .

You subtract fractions, so your result is ____?____ .