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107 台灣大學微積分(B) 第 10 題

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107學年度 · 107台大微積分B · 第 10 題

題目

Problem

Part II Fill in the blanks

  1. The third term of the Maclaurin series (i.e. the Taylor series centred at x=0x=0) of arcsin(3x)\arcsin(3x) is (11)\underline{\quad(11)\quad} (note that the answer should be a monomial in xx; the term of x0x^0 is counted as the 0-th term). The radius of convergence of the series is (12)\underline{\quad(12)\quad}.

解答