Let f(x)=ln(1-3x). Find a quadratic polynomial p(x) so that p(0)=f(0), p'(0)=f'(0) and p''(0)=f''(0). I don't know how to do this :/
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Originally Posted by Velvet Love Let f(x)=ln(1-3x). Find a quadratic polynomial p(x) so that p(0)=f(0), p'(0)=f'(0) and p''(0)=f''(0). I don't know how to do this :/ First a quick note if you know how to find a Taylor series centered at x=0 you are done. Just take the first 3 terms. So lets suppose you don't so we want a quadratic function and we want So now we have so now we have So we get
Thank you a lot. I've never learned how to do that type of problem. What is that Taylor series?
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