What is the limit as x approaches 0 of (2x^3+10x)/(5x^3+2x^2+7x)?
X Xelthen New member Joined Jul 2, 2008 Messages 2 Jul 3, 2008 #1 What is the limit as x approaches 0 of (2x^3+10x)/(5x^3+2x^2+7x)?
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,339 Jul 3, 2008 #2 (2x^3+10x)/(5x^3+2x^2+7x) As x is a factor of numerator and denominator, it is easily determined. For x <> 0, (2x^3+10x)/(5x^3+2x^2+7x) = (2x^2+10)/(5x^2+2x+7) and it approaches 10/7 from both directions.
(2x^3+10x)/(5x^3+2x^2+7x) As x is a factor of numerator and denominator, it is easily determined. For x <> 0, (2x^3+10x)/(5x^3+2x^2+7x) = (2x^2+10)/(5x^2+2x+7) and it approaches 10/7 from both directions.
