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Limit Laws

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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.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA

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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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