v) Let a, a2, az.... be a sequence of real mumbers. The definition of the limit of the sequence, lim, an =t, is Ve >0 3N EN Vn N a-

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v) Let a, az, a3, ... be a sequence of real mumbers. The definition of the
limit of the sequence, lim, an =l , is
Ve >0 IN EN n 2 N a,- (| <e.
(+)
a) Write in symbolic form the negation of (+), and simplify your answer
so that the negation symbol is not used.
b) By working directly from the definition, prove that
lim
nx 5n
Transcribed Image Text:v) Let a, az, a3, ... be a sequence of real mumbers. The definition of the limit of the sequence, lim, an =l , is Ve >0 IN EN n 2 N a,- (| <e. (+) a) Write in symbolic form the negation of (+), and simplify your answer so that the negation symbol is not used. b) By working directly from the definition, prove that lim nx 5n
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