Evaluate an infinite series

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  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. calculus
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Комментарии
Автор

Math is so beautiful. Discrete and Continous Calculus can coexist in perfect harmony

zeravam
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Pretty neat solution.

When integrating in the fourth step, is there a negative sign from the substitution u= 1-x du= -dx? What happens to this sign?

Also it reminds me of the Bernoulli class ODEs we solved this last semester. The simplification into the form of the derivative is genius, but the following geometric series sum step was mind boggling. Truly some great math going in here!

evanhodgson
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why it seems to easy once is done and so convoluted when you are doing it.

atzuras