The convergence and disconvergence of the trigonometric sequences {sinnx}, {cosnx} are discussed and the set of their limit points are obtained. There after the discussion of the problem in extended. The sets of limit points of two dimensional trigonometric sequence {{nω1, nω2)} and {{sinnω1, sinnω2)} are obtained with the use of the theory of differential equation on two dimensional torus. At last a application to physics in expounded. |