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(a) Test the series for convergence: S =E(-1)*+*1, [10 marks) (n+ 1)! n=1 (b) Evaluate the series: 00 S= L n(n+1)(n+2) [20 marks] n=1

 

(a) Test the series for convergence: S =E(-1)*+*1, [10 marks) (n+ 1)!" n=1 (b) Evaluate the series: 00 S= L n(n+1)(n+2) [20 marks] n=1 (c) Find the interval of convergence of the power series: (x 2)" [10 marks] n2n n=1 (d) Evaluate the improper integral 'd.r. [10 marks]

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