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(2) Based on the knowledge of telescoping series, how are we able to tell that the series 11+1 1+1+ and1+1+1+1+1+ 3 5 7 9 22

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(2) Based on the knowledge of telescoping series, how are we able to tell that the series 11+1 1+1+ and1+1+1+1+1+ 3 5 7 9 22 32 42 52 are convergent even though they are themselves not telescoping series? What is so special about these two series

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