Recent content by Puppy27

sorry, I mistake the definition of convergence! I first thought a series converge when k increases, the value of each component in the series will increase. so sorry!

sorry, but the ratio test is using limit of Uk+1/Uk when k goes to infinity, right? So that is why I get (1/2) * 1^x which is (1/2) for all x

That is why my lecturer asks to find values of x (or I think the range of value of x) to make this series converge Help me please!

Find the value of x so that the series below converge.[/b] \sum 1/ [(k^x) * (2^k)] (k=1 to \infty) Using ratio test, I 've got [(1/2) * 1^x] < 1 for all x in R But when I use different value of x, series converge and diverge! Really need your help! Thank you so much