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kingwinner
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Homework Statement
I understand everything except the last two lines. I am really confused about the last two lines of the proof. (actually I was never able to fully understand it since my first year calculus)
I agree that if ALL three of the conditions n≥N, k≥K, and nk≥N are satisfied, then the last line is true. But why does the condition n≥N alone imply that the last line is true? Does n≥N guarantee that k≥K, and nk≥N?
Why is it true that n≥N => |an-an_k| < ε/2 ?
And why is it true that n≥N => |an_k-L| < ε/2 ?
Can somebody kindly explain the last two lines of the proof in more detail?
Homework Equations
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The Attempt at a Solution
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Any help is much appreciated!
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