Please, could you help me with this demonstration?

Let X a vectorial space with norm and e sequences over X where x_n->x and y_n->Y.

A) If is a scalar sequence that converges to prove that ->

b) Let =(x_1+..+x_n)/n. Prove that ->x

Thanks a lot

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- May 2nd 2011, 10:11 AMroporteHelp proving convergence
Please, could you help me with this demonstration?

Let X a vectorial space with norm and e sequences over X where x_n->x and y_n->Y.

A) If is a scalar sequence that converges to prove that ->

b) Let =(x_1+..+x_n)/n. Prove that ->x

Thanks a lot - May 2nd 2011, 12:07 PMFernandoRevilla