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- calculus - Evaluating integrals with sigma notation - Mathematics Stack . . .
Evaluating integrals with sigma notation Ask Question Asked 13 years, 2 months ago Modified 8 years, 1
- complex numbers - Evaluating $\cos (i)$ - Mathematics Stack Exchange
Evaluating $\cos (i)$ Ask Question Asked 4 years, 6 months ago Modified 4 years, 6 months ago Viewed 6k
- real analysis - Polar coordinates for the evaluating limits . . .
I've seen many pages on this site about the using of polar coordinates for evaluating limits but I'm really confused I don't know when we can apply that or when it shows the correct limit In fact , I'm looking for a theorem (with proof) that covers this problem completely Also the references to the reliable books will be helpful
- Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n . . .
Here's another approach First, note that $$\begin{eqnarray*} \sum_{k=n^2+1}^\infty \frac{n}{n^2+k^2} < \sum_{k=n^2+1}^\infty \frac{n}{k^2} \\ \le n\int_{n^2
- Polar Coordinates as a Definitive Technique for Evaluating Limits
A lot of questions say "use polar coordinates" to calculate limits when they approach $0$ But is using polar coordinates the best way to evaluate limits, moreover, prove that they exist? Do they
- Evaluating Limits at Infinity - Mathematics Stack Exchange
I'm working on an assignment for calculus and I'm having some problems with evaluating limits at infinity I can solve most problems but I'm unsure of what to do when there's a square root in the problem I have two square root problems, but I think if I get one I should be able to do the other, here's the one that's giving me troubles,
- Evaluating $\\lim\\limits_{n\\to\\infty} e^{-n} \\sum\\limits_{k=0}^{n . . .
I'm supposed to calculate: $$\\lim_{n\\to\\infty} e^{-n} \\sum_{k=0}^{n} \\frac{n^k}{k!}$$ By using WolframAlpha, I might guess that the limit is $\\frac{1}{2
- Evaluating an integral in the distributional sense?
$\begingroup$ @Bell I did miss a factor of $\frac{1}{2}$ initially which should be there But it would be proportional to $\delta'''$, just not with that same constant of proportionality
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