Which of the following is the Taylor series for f(x)=1xf(x) = \frac{1}{x}f(x)=x1 centered at a=1a = 1a=1?
∑n=0∞(x−1)n\sum_{n=0}^{\infty} (x-1)^n∑n=0∞(x−1)n
∑n=0∞−(x−1)n\sum_{n=0}^{\infty} -(x-1)^n∑n=0∞−(x−1)n
∑n=0∞(1−x)n\sum_{n=0}^{\infty} (1-x)^n∑n=0∞(1−x)n
∑n=0∞(−1)n(x−1)n\sum_{n=0}^{\infty} (-1)^n (x-1)^n∑n=0∞(−1)n(x−1)n