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but shouldnt sagemath be able to figure out that its a riemann sum on its own?

i have a function defined as

https://imgur.com/a/SfF2Edl.png

how can i replicate this function in sagemath using the sum function? i know it can be done in pure python with recursion but then whats the point of sagemath and symbolic calculation?

what ive tried so far is:

f(x) = 1 if x == 0 else sum(1+f(j-1), j, 0, x-1)

but i get the following error:

NameError: name 'f' is not defined

now i know its not possible to use recursion on a variable like this but there must be some tricky way to go about doing that (i hope so and thats why im here)

thanks in advance

thank you!

given this sequence

i tried the following:

  s,n = var('s,n')
  s = sum((3*n)/sqrt(2*n^4-k^2*n^2), k, 1, n)
  s.limit(n=Infinity)

but i get:

3*limit(n*sum(1/sqrt(-k^2*n^2 + 2*n^4), k, 1, n), n, +Infinity)

which is not the result i want, this sequence either diverges or converges, so its either a number or infinity/-infinity, any ideas how to make this work properly? or can sagemath not handle this type of limits?

thank you

different display methods give different results when evaluating the following code we get 2 different results even tho

limit of sequence given this sequence i tried the following: s,n = var('s,n') s = sum((3*n)/sqrt(2*n^4-k^2*n^2), k

where to get sagetex.sty im trying to use sagetex but i cant find any sagetex.sty that works, all of the ones i found on

how to do boolean algebra im currently studying algebra but i havent been able to figure out how to use sagemath in my s

makes sense, tysm

how do i write a symbolic expression/function to calculate this sum based on the given value of the variable 'k'?

sum with indexed variable how do i write a symbolic expression/function to calculate this sum based on the given value o

sum with indexed variable how do i write a symbolic expression/function to calculate this sum based on the given value o

done replaced with a link, thanks

replicate recursive sum i have a function defined as https ://imgur.com/a/SfF2Edl.png how can i replicate this functio

replicate recursive sum i have a function defined as: (cant post links or images so ill put the latex code) \begin{ali