@siriusmart@lemmy.world
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siriusmart

@siriusmart@lemmy.world

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siriusmart, (edited )
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Hint

spoilerThe solution I have in mind is related to the Taylor series


Hint 2

spoilerIt converges to -ln(2), but why


Solution:

spoiler…siri.sh/…/2024-06-02-alternating_harmonic.htmlhttps://lemmy.world/pictrs/image/16bd1657-951e-4b81-a739-b076147fc0bd.png

siriusmart,
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yup thats the intended solution, im not really familiar with taylor series yet, but maybe for a person who knows taylor series would be able to see it right away

siriusmart,
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i main zathura, but okular is a good one as well

siriusmart,
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Here’s a rly cool solution from stackexchange, which blows my average geometric solution out of the water

spoilerhttps://lemmy.world/pictrs/image/5747b508-d67d-4a3d-9c2e-f2e1003d2cc9.png

siriusmart,
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i pulled the image from a meme channel, so i dont know if its real or not, but at the same time, this below does look like a legit response

https://lemmy.world/pictrs/image/309d96a9-685a-4860-9705-f5bccaa29579.png

siriusmart,
@siriusmart@lemmy.world avatar

the background it likely ai generated anyways

(i took the meme off some discord channel, so i dont know how its made)

siriusmart, (edited )
@siriusmart@lemmy.world avatar

Solution (starter question):

spoilerhttps://lemmy.world/pictrs/image/f4f24d39-5f28-4914-97bb-92728cdc4aa8.png


Please refer to the main post, if you don’t like looking at the image. gmtex.siri.sh/fs/1/School/…/1d-gravity.html


For the main question, you are encouraged to share your progress

spoilerhttps://lemmy.world/pictrs/image/9ea15515-d6b7-468b-bfc5-ec708a6d0e09.pngYou might be able to solve this with differential equations, or by solving the iterative functions, I dont know

siriusmart, (edited )
@siriusmart@lemmy.world avatar

Hint:

spoilere

Solution:

spoilerzkfcfbzr solved it i put everything into ln because i was scared of multiplication …siri.sh/…/2024-05-16_telescoping-multiplication.…https://lemmy.world/pictrs/image/1f096e4a-97f2-4bf1-b5d2-0037b9fbba98.png

siriusmart,
@siriusmart@lemmy.world avatar

i added the solution to the post, i didnt see the multiplication before someone mentioned it, but yeah if we put it to the power of e it will telescope again, which is clearly the main character of this sub at this point (jk)

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