设$sumlimits_{n = 1}^infty {n{a_n}} $收敛，记${t_n} = sumlimits_{k = 1}^infty {k{a_{n + k}}} $，证明：数列$left{ {{t_n}} ight}$收敛并求其极限
注：请问这题可不可以用Abel变换和$varepsilon - N$定义证明啊
设$sumlimits_{n = 1}^infty {n{a_n}} $收敛，记${t_n} = sumlimits_{k = 1}^infty {k{a_{n + k}}} $，证明：数列$left{ {{t_n}} ight}$收敛并求其极限
注：请问这题可不可以用Abel变换和$varepsilon - N$定义证明啊