[分析] 初微(28)

[PttFund (批踢踢基金只進不出)]

Suppose that |a_n| < 2 and

    |a_(n+2) - a_(n+1)|≦ (1/8)| ( a_(n+1) )^2 - ( a_n )^2 |

for all positive integers n. Show that {a_n} converges.

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