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: 1 - 2 + ... + (- 1) ?n + ... (1), "n> 0 .

n, (-1) ?n. .

: (1> 2> ...) lim n = 0, .

-: (1) n >n + 1 n0 n ?.

S2n = 1 - 2 + 3 - 4 + ... + 2n-1 - 2n = (1 - 2) + (3 - 4) + ... + (2n-1 - 2n). , {S2n} . , . S2n S2n = 1 - [(2 - 3) + (4 - 5) + ... + (2n-2 - 2n-1) + 2n]. S2n <1 - n, . . {S2n}. , {S2n} ? lim S2n = S. , S.

,S2n + 1 = S2n + 2n + 1. n ? (n0 n ?),

lim S2n + 1 = lim (S2n + 2n + 1) = lim S2n + lim 2n + 1 = S + 0 = S. , {Sn} (1) S. , (1).




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