Maclaurin series | Desmos

Expression 7: Start sum from "n" equals 0 to "N" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, "n" , Baseline "x" Superscript, left parenthesis, 2 "n" , right parenthesis , Baseline Over left parenthesis, 2 "n" , right parenthesis ! , EndFraction

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Expression 8: StartFraction, 1 Over 1 minus "x" , EndFraction

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Expression 9: Start sum from "n" equals 0 to "N" , end sum, "x" Superscript, "n" , Baseline

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Expression 10: natural log left parenthesis, 1 plus "x" , right parenthesis

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Expression 11: Start sum from "n" equals 1 to "N" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, left parenthesis, "n" minus 1 , right parenthesis , Baseline "x" Superscript, "n" , Baseline Over "n" , EndFraction

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Expression 12: arc tangent left parenthesis, "x" , right parenthesis

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Expression 13: Start sum from "n" equals 0 to "N" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, "n" , Baseline "x" Superscript, left parenthesis, 2 "n" plus 1 , right parenthesis , Baseline Over 2 "n" plus 1 , EndFraction

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