This would cut down on your frustrations. A case in point is this thread:
Trying to understand infinity (we are giving infinity a definite beginning point at 1/2 and a definite end point at 1)
But then I am still confused about how the segments/terms reach the other side. A limit just gets arbitrarily close doesn't it? In other words, each n only gets the sum close. How does the gap get filled? They never do! The Nth partial sum is \displaystyle \sum_{n=1}^N \dfrac{1}{2^n}=...
www.freemathhelp.com
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