Find a power series representation of the following: (1) d/dx (1/(x-5)) (2) integral 1/(1-x) dx.
K kiddopop New member Joined Sep 14, 2009 Messages 25 Mar 24, 2010 #1 Find a power series representation of the following: (1) d/dx (1/(x-5)) (2) integral 1/(1-x) dx.
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Mar 24, 2010 #2 Hint: ∑n=0∞arn = a1−r, ∣r∣ < 1.\displaystyle Hint: \ \sum_{n=0}^{\infty}ar^{n} \ = \ \frac{a}{1-r}, \ |r| \ < \ 1.Hint: n=0∑∞arn = 1−ra, ∣r∣ < 1.
Hint: ∑n=0∞arn = a1−r, ∣r∣ < 1.\displaystyle Hint: \ \sum_{n=0}^{\infty}ar^{n} \ = \ \frac{a}{1-r}, \ |r| \ < \ 1.Hint: n=0∑∞arn = 1−ra, ∣r∣ < 1.
