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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.
Contributed by:
Ed Pegg Jr
Show Initialization Code
X
X
X
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
Limit
(
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MathWorld
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"
Limit Laws
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LimitLaws/
Contributed by:
Ed Pegg Jr
Calculus
High School Calculus and Analytic Geometry
High School Mathematics
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