Find T(10) (x): the Taylor polynomial of degree 10 of the function f(x)=arctan(x^3) at a=0. Can someone show me the steps to finding this, please?
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Originally Posted by Del Find T(10) (x): the Taylor polynomial of degree 10 of the function f(x)=arctan(x^3) at a=0. Can someone show me the steps to finding this, please? note that if then by the def of a geometric series we get... so if integrate both sides we get so then so we get... Just write out as many terms as you need.
I got this massive polynomial for T(10), but it's incorrect. What am I doing wrong? T(10) = [x^3-x^9/3+x^15/5-x^21/7+x^27/9-x^33/11+x^39/13-x^45/15+x^51/17-x^57/19]
Originally Posted by Del I got this massive polynomial for T(10), but it's incorrect. What am I doing wrong? T(10) = [x^3-x^9/3+x^15/5-x^21/7+x^27/9-x^33/11+x^39/13-x^45/15+x^51/17-x^57/19] When they say They mean a polynomial with degree 10 or less. You have a polynomial of degree 57. You would want only the first two terms. the next term would be degree 15 Good luck. B
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