Limit Laws

Pairs of functions can be combined in six standard ways. The pairs are plotted as dashed curves and their combination as a solid brown line. The limit of the combination as approaches 1 is the height of the red dot.

If , , , and are real numbers and and , then
1. Sum Rule:
2. Difference Rule:
3. Product Rule:
4. Constant Multiple Rule:
5. Quotient Rule: , if M≠0
6. Power Rule: , if and
 
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