For which \(x\) does \[ \sum_{n=1}^\infty \left( \arctan (1 + \frac{x}{n}) \right)^n\]converge?(If it wasn't obvious before, I'm done grading. It may as well be officially summer.)
Tuesday, May 1, 2012
Favorite problem
from yesterday's exam (2nd semester calculus, targeted at students going into engineering and sciences:
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