What is the Taylor series for 1x2\frac{1}{x^2}x21 centered at a=1a=1a=1?
∑n=0∞(n+1)(x−1)n\sum_{n=0}^{\infty} (n+1)(x-1)^n∑n=0∞(n+1)(x−1)n
∑n=0∞(−1)n(n+1)(x−1)n\sum_{n=0}^{\infty} (-1)^n (n+1)(x-1)^n∑n=0∞(−1)n(n+1)(x−1)n
∑n=0∞(−1)n(n+1)xn\sum_{n=0}^{\infty} (-1)^n (n+1) x^n∑n=0∞(−1)n(n+1)xn
∑n=0∞(n+1)xn\sum_{n=0}^{\infty} (n+1) x^n∑n=0∞(n+1)xn