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how to derive a formula using telescoping sum. 1 what was the motivation for starting with 2j1. We also derive some well known formulas for Taylor series of ex cosx and sinx around x0.
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It has a finite number of terms. Cosa v cosacosv sinasinv cos45 30 cos45 cos30 sin45 sin30 2 2 3 2 2 2 1 2 6 4 2 4 6 2 4. Were going to use a notation S sub n to denote the sum of first.
Lets write out S sub n.
A telescoping series is any series where nearly every term cancels with a preceeding or following term. The SUMIF function returns the sum of cells in a range that meet a single condition. Because of cancellation of adjacent terms. In this video we use partial fraction decomposition to find sum of telescoping series.
