Unformatted text preview: are the real numbers, or a subset of the real numbers, like f ( x ) = sin x . A sequence is a function with domain the natural numbers N = { 1 , 2 , 3 , . . . } or the nonnegative integers, Z ≥ = { , 1 , 2 , 3 , . . . } . The range of the function is still allowed to be the real numbers; in symbols, we say that a sequence is a function f : N → R . Sequences are written in a few diﬀerent ways, all equivalent; these all mean the same thing: a 1 , a 2 , a 3 , . . . { a n } ∞ n =1 { f ( n ) } ∞ n =1 { a n  n ∈ N } { f ( n )  n ∈ N }...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Sequences And Series, Limit of a sequence

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