My Math Forum series question - might be an algebra question

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 December 17th, 2011, 07:54 PM #1 Senior Member   Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0 series question - might be an algebra question In the last step where the limit is present. The step showing the result of dividing everything by $n^{5/2}$. Does anyone know why they didn't divide the 2 in the denominator by $n^{5/2}$?
 December 17th, 2011, 08:05 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: series question - might be an algebra question Yes, the denominator consists of two factors. Consider two factors a and b: $a\cdot b$ Now, if we divide these factors by a quantity x, we may write: $\frac{a\cdot b}{x}=\frac{a}{x}\cdot b=a\cdot\frac{b}{x}$ We would not write: $\frac{a\cdot b}{x}=\frac{a}{x}\cdot\frac{b}{x}=\frac{a\cdot b}{x^2}$
 December 17th, 2011, 08:28 PM #3 Senior Member   Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0 Re: series question - might be an algebra question ok, thank you. I see.

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