How do you evaluate an infinite sum to a given decimal point?
Given some infinite sum $S=sum_n^infty f(n)$, where $f$ is some algebraic function and $S$ is convergent, are there well defined method(s) for evaluating $S$ to a given decimal point?
calculus sequences-and-series convergence summation
asked Dec 2 at 16:24
Steven Fontaine
7161823
add a comment |
Given some infinite sum $S=sum_n^infty f(n)$, where $f$ is some algebraic function and $S$ is convergent, are there well defined method(s) for evaluating $S$ to a given decimal point?
calculus sequences-and-series convergence summation
asked Dec 2 at 16:24
Steven Fontaine
7161823
2
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27
add a comment |
Given some infinite sum $S=sum_n^infty f(n)$, where $f$ is some algebraic function and $S$ is convergent, are there well defined method(s) for evaluating $S$ to a given decimal point?
calculus sequences-and-series convergence summation
asked Dec 2 at 16:24
Steven Fontaine
7161823
Given some infinite sum $S=sum_n^infty f(n)$, where $f$ is some algebraic function and $S$ is convergent, are there well defined method(s) for evaluating $S$ to a given decimal point?
calculus sequences-and-series convergence summation
calculus sequences-and-series convergence summation
asked Dec 2 at 16:24
Steven Fontaine
7161823
asked Dec 2 at 16:24
Steven Fontaine
7161823
asked Dec 2 at 16:24
Steven Fontaine
7161823
asked Dec 2 at 16:24
Steven Fontaine
7161823
asked Dec 2 at 16:24
Steven Fontaine
7161823
7161823
2
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27
add a comment |
2
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27
2
2
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27
add a comment |
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2
If you mean $sum_{n=1}^infty$ then there are full books about this subject.
– Fabian
Dec 2 at 16:27