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< < | Famous SeriesGeometric Series![]()
![]() P-Series![]()
![]() Harmonic Series![]()
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Alternating Harmonic Series![]()
![]() Exponential![]()
![]() ![]() ![]() Sin![]()
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arctan (x)![]() ![]()
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> > | Famous SeriesGeometric Series![]() ![]() ![]() P-Series![]() ![]() ![]() Harmonic Series![]()
![]()
Alternating Harmonic Series![]()
![]() Exponential![]() ![]() ![]() ![]() ![]() Sin![]() ![]() ![]() Cos![]() ![]() ln (1+x)![]() ![]()
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Exponentials![]() ![]() ![]() ![]() Powers and Roots![]() ![]() ![]() ![]() ![]() Properties of LimitsThe limit of a sum is the sum of the limits:![]() The limit of a product is the product of the limits:![]() The limit of a quotient is the quotient of the limits:![]() Squeeze Theorem:![]() AKA the "Flyswatter Theorem". Why?![]() ![]() Ratios of PolynomialsThe limiting behavior of the ratio of two polynomials depends on the degree of the polynomials. The polynomial of higher degree "wins". If their degrees are the same, then the limit is the ratio of the leading coefficients.![]() ![]() ![]() | ||||||||
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New Series From OldMultiply by a constant:
Substitute an expression for x:![]()
Multiply by a power of x:![]()
Integrate:
Differentiate:
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-- DickFurnas - 21 Oct 2008 |