Express the infinite series 1 + (1/2)x + (1/3)x^2 + (1/4)x^3 + (1/5)x^4 + ... as an elementary function of x.
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Originally Posted by icemanfan Express the infinite series 1 + (1/2)x + (1/3)x^2 + (1/4)x^3 + (1/5)x^4 + ... as an elementary function of x. Without worrying too much about convergence: Let then: CB (Also, you should have asked permission to post this in the maths challenge area of MHF)
Originally Posted by CaptainBlack Without worrying too much about convergence: Let then: CB It did occur to me to solve the problem that way, but then how do you determine what f(x) is? Not sure where you go from there. My solution is entirely different.
Thanks, uniquesailor. That was easier than I made it. Actually, I realized my original solution was wrong, but I'm not sure why. This is what I did: Hence Somehow I lost a factor of x in there...
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