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Expression 4: Start integral from 0 to "N" , end integral, StartFraction, "x" Superscript, "n" , Baseline Over "n" ! , EndFraction "d" "n"

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Differences from e^x:

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Expression 6: Start sum from "n" equals 0 to "N" , end sum, StartFraction, "x" Superscript, "n" , Baseline Over "n" ! , EndFraction minus "e" Superscript, "x" , Baseline

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Expression 7: Start integral from 0 to "N" , end integral, StartFraction, "x" Superscript, "n" , Baseline Over "n" ! , EndFraction "d" "n" minus "e" Superscript, "x" , Baseline

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Expression 8:

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