Find the Maclaurin series representation of f(x)=11+xf(x) = \frac{1}{1+x}f(x)=1+x1.
∑n=0∞xn\sum_{n=0}^{\infty} x^n∑n=0∞xn
∑n=0∞(−1)nxn+1\sum_{n=0}^{\infty} (-1)^n x^{n+1}∑n=0∞(−1)nxn+1
∑n=1∞(−1)nxn\sum_{n=1}^{\infty} (-1)^n x^n∑n=1∞(−1)nxn
∑n=0∞(−1)nxn\sum_{n=0}^{\infty} (-1)^n x^n∑n=0∞(−1)nxn