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anonymous
 5 years ago
What is a Taylor Series for f(x)=ln(2+2x) ?
anonymous
 5 years ago
What is a Taylor Series for f(x)=ln(2+2x) ?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ummm I might be able to do this... we'll need to collaborate though

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0they gave the first part: ln(2)+\[\sum_{n=1}^{\infty}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so whats in the sigma, thats important

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats what we have to try to find lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0does the question say exactly that? What is a taylor series for...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0take the derivative of ln(x) like 4 or 5 times see if you can see a pattern

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, What is a Taylor Series for f(x)=ln(2+2x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0of and at x=1/2 we know that ln(1) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{?}^{?} (f^{(n)}(1/2))/n! * (2x(1/2))^{n}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the general formula would be F^(n) (x) = (1)^(n+1) (n1) !  x^(n)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats my best guess but I think I'm taking it too fat by kinda approxximating

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes it would now try writing that in sigma notation which is what I did up there...not sure if this is right to do...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Go to the general form of the Taylor Series. T(x) = f(a) + f'(a)(xa) + f''(a)(xa)^2/2! + ... and plug the derivatives of ln(2+2x) into the places you see fit (I think in this case it's safe to set a=0).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont know where I would stop using the general form...?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Until you see the general form that they're taking...and then you can put the general form of the series into your sum symbol.
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