How can I come to terms with the fact that so many people I know got into Harvard, when I've worked nonstop for my entire life to get there and didn't make it?
The smartest person I have ever known got rejected from every Ivy League school to which she applied for undergrad (plus Stanford -- even as an athletic recruit!); she went to a mid-tier state school instead, graduated with a 3.99 GPA, won a Rhodes scholarship and is now at a major Ivy League law school. Setbacks are a set-up for a comeback. Abe Lincoln lost eight elections before becoming President; Walt Disney was once fired from a newspaper because he "lacked imagination" and had "no original ideas"; The Beatles were rejected by a major recording studio because "they have no future in show business." How you respond to this setback is entirely up to you. Harvard said "not now," not "never." Trust me when I say that this will not be the last time you fail in life, but future failures will be easier to swallow because now you know what it's like to get kicked in the gut. Dust yourself off and move on. That's how you honor those who put you in a position to apply to begin with.
What are the conditions of an alternating series test to determine if the series is convergent?
1) The function must be decreasing (can be found by taking the derivative or 2nd Term < 1st Term) 2) The limit of the sequence must be zero.
Why must the parameter of a copy constructor be a reference?
To avoid infinite recursion. Because if it's not by reference, it's by value. To do that you make a copy, and to do that you call the copy constructor, and it recursively continues.