6
votes
Accepted
Why does Mathematica get the infinite sum of this representation of the taylor series of $\cos^2(x)$ wrong?
Expanding on the comment by @Goofy and after reading the docs we see that:
"ParallelFirstToSucceed"
try each method in parallel until one succeeds
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- 12.8k
5
votes
Accepted
First argument -h is not a valid variable
h is a local to Series, you cannot use it as a functionargument.
Try
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- 49.1k
5
votes
Find Generalized Series with Symbolic Variable
With SeriesCoefficient, the order and expansion point can be symbolic.
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- 151k
4
votes
Find Generalized Series with Symbolic Variable
If I understand correctly what you want the following is your friend
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- 12.8k
2
votes
Why does Mathematica get the infinite sum of this representation of the taylor series of $\cos^2(x)$ wrong?
Vs 6 gets the correct result, but Wolfram $\alpha$ decides, too, that
$$\sum_{m,n=0}^\infty \frac{ (-1)^{n+m} x^{2m+2n} }{(2n)!(2m)!} \quad \ne \quad \sum_{m=0}^\infty\left(\sum_{n=0}^\infty \frac{ ...
- 2,802
2
votes
First argument -h is not a valid variable
Or
s[h_, n_ : 4] := Normal[f[t] + O[t, x]^(n + 1)] /. t -> x + h
s[h] + s[-h]
- 63.3k
1
vote
Accepted
Find Generalized Series with Symbolic Variable
I'm assuming you want the "formula" for what CoefficientList[Series[f[x], {x, a, n}], x] gives. If you want the term associated with $x^j$, that is the ...
- 40.3k
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