A series expansion is a representation of a particular function as a sum of powers in one of its variables, or by a sum of powers of another (usually elementary) function .
Here are series expansions (some Maclaurin, some Laurent, and some Puiseux) for a number of common functions.
(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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(11)
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(12)
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(13)
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(14)
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(15)
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(16)
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(17)
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(18)
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(19)
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(20)
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(21)
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(22)
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(23)
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(24)
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(25)
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(26)
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(27)
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(28)
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(29)
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(30)
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(31)
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(32)
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(33)
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