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Aww, they ruined the punchline!
The bartender says, “y’all need to know your limits” and pours two beers.
Well, if you put - 0,5x + 1 into lim --> ∞ = 2
So hes right
It would be limn→∞Σnk=0(½k) = 2, actually.
EDIT: More clear image of the equation provided below.

Alternative form of the same series:

In fact, it can be proven that the following is true for any value n:

Thus:


PS: using i as a loop parameter in math makes me uncomfortable
Oh, I can fix this rq. Just have to generate some new images. “i” is pretty standard for series notation, so that’s why I used it. I could switch to “k” though I guess.
EDIT: Updated images




