Question

The Alternating Series Test and convergence. 8 = angle Pod sino g 3! as 3! a 7 " Functions can often be represented by an infinite series. A series reprezentation can help to solve differential equations, to fin derivatives, or to compute integrals involving the function. Computers also use these series representations to perform calculations. For example sin (0) 0 +... allows a calculator to give a decimal approximation of values of sine. Click here to access the Exo ore it in a new windo. Elect Scenario 1, the series . This series converges by the Alternating Series Test a According to the alternating series estimate, what is the minimum value of n needed to approximate S b) Give the partial sum s for the value of n from part (a). (Round to two places after the decimal.) S =

Answer 1

Criven alternating series so E (-) nan we can find n by following bound 1 s-sm Is langelo 1 me k to | lynn k to . <»> 30407) htl 30-1cn a n230 ) nəza ... nico i 1730 I take Tn=30] + ..+ zano = 0.676250 = 0.68 $30 , Tus+ $30