題目 7. (10 points) Derive the complete Taylor series expansion for ln(1+2x1−2x)\ln\left(\frac{1+2x}{1-2x}\right)ln(1−2x1+2x) about x=0x=0x=0. (In the form ∑k=1∞akx2k−1\sum_{k=1}^{\infty} a_k x^{2k-1}∑k=1∞akx2k−1 with a general formula for aka_kak.) 解答