All Questions
Tagged with wolfram-alpha-queries summation
5 questions
2
votes
2
answers
538
views
How to calculate complicated expression in WolframAlpha
I need to evaluate the limit:
$$\lim_{n\to\infty}\prod_{k=1}^\infty \left(1-\frac{n}{\left(\frac{n+\sqrt{n^2+4}}{2}\right)^k+\frac{n+\sqrt{n^2+4}}{2}}\right).$$
I could not type into WolframAlpha ...
- 23
9
votes
2
answers
2k
views
Wolfram says sum diverges, but Mathematica gives a numerical value for infinite sum [closed]
Take this sum for example:
$$\sum_{n=2}^\infty\frac1{\log(n!)}$$
Wolfram says that this does not converge by the comparison test. However, when I use Mathematica's ...
- 241
3
votes
4
answers
432
views
Conditional Summations
I am not a math major, but for a networking class, I am taking I am required to do summations for probability. I know the logic but I don't know the mathematical theory to make this work. Using ...
- 31
2
votes
1
answer
317
views
Some Wolfram|Alpha Features I can't achieve in Mathematica
I have noticed some features available on the site Wolfram|Alpha which I am not managing to replicate. Two examples which come to mind are the following.
Given a function $f(x)$, I want to determine ...
- 450
8
votes
1
answer
370
views
Differing answers when comparing Wolfram Alpha and Mathematica v.10.2
Out of curiousity, please consider following expression:
Sum[(-1)^(n + 1)/n, {n, 1, 100000}]
When evaluated using Wolfram Alpha:
Result: ...
- 5,989