Investigating Limits Informally

Right and left hand limits

Explain why the graph of is a straight line.

Explain why there is a hole in the graph of at instead of a vertical asymptote.

Move the slider to the right so that P and Q are furthest from the hole in the graph. Now slowly move the slider to the left. Observe both limits. What do you notice?

What appears to be limit of the function as tends to 5?