1)Prove that 1)1+ 1/2! + 1.3/4! + 1.3.5/6! + ……………………=e^1/2 2) 2) Evaluate the series 1 + 3/1! + 5/2! + 7/3! + …………………………….
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Originally Posted by somnath6088 1)Prove that 1)1+ 1/2! + 1.3/4! + 1.3.5/6! + ……………………=e^1/2 2) 2) Evaluate the series 1 + 3/1! + 5/2! + 7/3! + ……………………………. Both problems rely on you using the power series . 1) Substitute and play around a little bit. 2) The series can be written .
Hello, somnath6088! mr fantastic has the best approach to #1 . . . . . I did it head-on. We know that: . Prove that: . Reduce the fractions . . . . . . . And this is the infinite series for: .
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