G Guest Guest Feb 16, 2006 #1 I eventually need to take the limit as h->0 but i'm stuck here, unable to manipulate the expression further... [1/(x+h)^2 - 1/x^2] / h thanks!
I eventually need to take the limit as h->0 but i'm stuck here, unable to manipulate the expression further... [1/(x+h)^2 - 1/x^2] / h thanks!
U Unco Senior Member Joined Jul 21, 2005 Messages 1,134 Feb 16, 2006 #2 The numerator: \(\displaystyle \mbox{ \frac{1}{(x + h)^2} - \frac{1}{x^2}}\) Subtract fractions (by cross-multiplying); then expand parentheses to observe some simplification.
The numerator: \(\displaystyle \mbox{ \frac{1}{(x + h)^2} - \frac{1}{x^2}}\) Subtract fractions (by cross-multiplying); then expand parentheses to observe some simplification.
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,325 Feb 16, 2006 #3 Of course, what is meant is: Subtract fractions by finding and using a common denominator, like any other fraction subtraction.
Of course, what is meant is: Subtract fractions by finding and using a common denominator, like any other fraction subtraction.
