needed to find interval of convergence. f(x) = 1/(x-5) it is a power series. thanks for the help.
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Originally Posted by rcmango needed to find interval of convergence. f(x) = 1/(x-5) it is a power series. thanks for the help. Begin with, 1+y+y^2+... =1/(1-y) for |y|<1. Now determine what do you want to substitute for y to get 1/(x-5). It is easy to see that y=6-x. Then, we need to |6-x|<1. And, 1+(6-x)+(6-x)^2+(6-x)^3+...=1/(5-x)
Originally Posted by rcmango needed to find interval of convergence. f(x) = 1/(x-5) it is a power series. thanks for the help. Someone check me on this:
lot of help on this one. Thankyou!
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