Expression 5: "P" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis equals Start sum from "i" equals 0 to "n" , end sum, StartFraction, 1 Over "i" ! , EndFraction "x" Superscript, "i" , Baseline Has graph. To audio trace, press ALT+T.Pnx=n∑i=01i!xi
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Expression 6: "y" equals cosine left parenthesis, "x" , right parenthesisy=cosx
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Expression 7: "P" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis equals Start sum from "i" equals 0 to "n" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, "i" , Baseline Over left parenthesis, 2 "i" , right parenthesis ! , EndFraction "x" Superscript, 2 "i" , BaselinePnx=n∑i=0−1i2i!x2i
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Expression 8: "y" equals sine left parenthesis, "x" , right parenthesisy=sinx
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Expression 9: "P" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis equals Start sum from "i" equals 0 to "n" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, left parenthesis, "i" , right parenthesis , Baseline Over left parenthesis, 2 "i" plus 1 , right parenthesis ! , EndFraction "x" Superscript, left parenthesis, 2 "i" plus 1 , right parenthesis , BaselinePnx=n∑i=0−1i2i+1!x2i+1