Sigma ♾️ _n=0(a_n) • Sigma ♾️ _k=0(b_k)
What's this? quotient rule? I heard it in bprp e^x+y video
#Unititle
azure rivet
misty forgeBOT
Sigma ♾️ \_n=0(a\_n) • Sigma ♾️ \_k=0(b\_k)
What's this? quotient rule? I heard ...
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upbeat root
in context of the video, he seemingly pulled the sums out of nowhere, and he noticed a pattern in these sums in order to simplify it down to
quartz krakenBOT
wolfqz
upbeat root
that isnt really a rule, just noticing some patterns, but its called the product formula for infinite series, he derived with a_i and b_i so that it is more general and the viewers actually get familiar with the rule for all cases and not just the one he talked about in the video
upbeat root
in context of the video, he seemingly pulled the sums out of nowhere, and he not...
basically for this, he did it treating x^n/n! and y^n/n! as single terms a_i and b_i
@azure rivet
azure rivet
I mean the name of this thing ...
quick fog
@upbeat root If the sums converge u can rearrange them/switch order /make a function to do the work of 2 sums by fubinis theorem
add this along
azure rivet
Okay