Mathematics, 22.05.2020 03:10, jkenkw4667
EXAMPLE 5 Express 1/(1 − x)2 as a power series by differentiating the equation below. What is the radius of convergence? 1 1 − x = 1 + x + x2 + x3 + = [infinity] xn n = 0 |x| < 1 SOLUTION Differentiating each side of the equation, we get 1 (1 − x)2 = 1 + Correct: Your answer is correct. + 3x2 + = [infinity] n = 1 . If we wish, we can replace n by n + 1 and write the answer as 1 (1 − x)2 = [infinity] n = 0 . According to this theorem, the radius of convergence of the differentiated series is the same as the radius of convergence of the original series, namely, R = .
Answers: 1
Mathematics, 21.06.2019 22:30, 19thomasar
Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?
Answers: 1
Mathematics, 21.06.2019 23:00, kateferguson9852
*segment an is an altitude of right ? abc with a right angle at a. if ab = 2root 5 in and nc = 1 in, find bn, an, ac.
Answers: 3
EXAMPLE 5 Express 1/(1 − x)2 as a power series by differentiating the equation below. What is the ra...
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