Find the sum of the series: 1 + {(√2 - 1)/(2√2)} - {(2√2 - 3)/(12)} + {(5√2 - 7)/(48√2)} - {(12√2 - 17)/(480)} + ... upto ∞ terms.
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Hello fardeen_gen Originally Posted by fardeen_gen Find the sum of the series: 1 + {(√2 - 1)/(2√2)} - {(2√2 - 3)/(12)} + {(5√2 - 7)/(48√2)} - {(12√2 - 17)/(480)} + ... upto ∞ terms. Note that: So, if and we make all the signs positive, the numerators are The denominators are: i.e. So if we let the series is = , where Grandad
Thank you! That is indeed the answer. And I like your method very much.
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