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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