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#### brooklysuse

##### New member

- Jun 26, 2019

- 4

following statements are equivalent:

i) limx→∞ f(x) = L

ii) For every sequence (xn) in A ∩ (a,∞) such that lim(xn) = ∞, the sequence (f(xn))

converges to L.

Not even sure how to begin this one, other than the fact that proving i) -->ii) and ii)--> i) will be sufficient. Could anyone help me with these 2 parts?

Thanks!