For Which Positive Integers K Is the Following Series Convergent
Therefore the series converges when. And one could use Lopezs house rule here to see that this living goes toe one over fourth which is less than one. Solved For Which Positive Integers K Is The Following Series Chegg Com Sum _n1infty fracleftnright6leftknright I tried using RootRatio tests but that didnt work out. . First we need a n 0. What is an integer. Approximate the sum of the series correct to four decimal places. Infinite n 1 n2kn. 100 9 ratings for this solution. K 2 k2 k 2. N2 n 1 kn. If K is bigger than two then the denominator has degree k which is also larger than to because youLL be multiplying K terms here. The positive integer that illustrates that theres convergence is k 2n. N 1 k. Kn k kn k - 1 kn k - 2. And now I simplify. It should be noted that an integer simply means a whole number that can be positive negative or zero. For series to be convergent th...