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January 10th, 2018, 06:42 AM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 238 Thanks: 27  Another limit
$\displaystyle lim _{y\rightarrow 0} \frac{yarctan(y)}{y^3 }$ Solve without Lh'opital 
January 10th, 2018, 06:49 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,767 Thanks: 1422 
note ... $\arctan{y} = y  \dfrac{y^3}{3} + \dfrac{y^5}{5}  \dfrac{y^7}{7} + \, ... $ 

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