Theorem 1 states that if lim x f (x) = L, then the sequence an = f (n) converges and lim
Chapter 10, Problem 79(choose chapter or problem)
Theorem 1 states that if lim x f (x) = L, then the sequence an = f (n) converges and lim n an = L. Show that the converse is false. In other words, find a function f such that an = f (n) converges but lim x f (x) does not exist.
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