MATH105 April 2012
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q6 (a) • Q6 (b) • Q7 (a) • Q7 (b) • Q8 (a) • Q8 (b) • Q8 (c) • Q8 (d) • Q8 (e) • Q8 (f) • Q8 (g) • Q8 (h) • Q8 (i) •
Question 01 (a)
Find the radius of convergence of the series
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We can apply the ratio test here. Let so that the series converges absolutely if
In this case, we require
and hence absolute convergence is obtained for
The radius of convergence is 1/2.
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