Hello everyone nothing,

Let the sequence (which has no meaning) Un defined by $$ Un = \lim_{x \to +\infty}sin^{2}nx $$ and n> = 0 index of the sequence.

Let the sequence (which has no meaning) Vn defined by $$ Vn = \lim_{x \to +\infty}\cos^{2}nx $$ and n> = 0 index of the sequence.

The sequence Un and Vn its term U0 U1 U2 ... and V0 V1 V2 .. point towards undetermined values and a limit which does not exist.

It is true that the values of U0 U1 U2 ... and V0 V1 and V2 .. are undetermined but the formulas to calculate them are well determined

Let the sequence (have a meaning) defined by the sum between Un and Vn.

$$ Sn = Un + Vn = \lim_{x \to +\infty}sin^{2}nx+ \cos^{2}nx =1 $$

with n> = 0 index of the sequence and x real.

The sequence Sn its term S0 S1 S2 ... point towards determined values and a limit which exists and equal to 1.

What do you think with two no meanings (Un and Vn) I built a meaning (Sn).