How do you find the convergence radius of a taylor polynomial
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Originally Posted by Mathstud28
Try the ratio test.
if the series converges
if the test is inconclusive
if The series diverges
So we want the series to converge so we want
if we solve the inequality we get the radius of convergance.
Note you need to check the end points with another test.
Originally Posted by Mathstud28 Originally Posted by Mathstud28
Obviously we want < because then that is what causes convergence?
Originally Posted by Mathstud28 Obviously we want < because then that is what causes convergence? no, we want ............then we have convergence by the ratio test
all you need to do is solve the last line TheEmptySet left you with for x. be sure to check the end-points as well
if its not too much to ask could you give me an example I work through it and you see if I am right? If thats too much work I understand...with all that LaTeX you have to go through to do it I wouldn't blame you haha
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