Find the Maclaurin series for f(x)=11+x2f(x) = \frac{1}{1+x^2}f(x)=1+x21.
∑n=0∞(−1)nx2n\sum_{n=0}^{\infty} (-1)^n x^{2n}∑n=0∞(−1)nx2n
∑n=0∞x2n\sum_{n=0}^{\infty} x^{2n}∑n=0∞x2n
∑n=0∞(−1)nxn\sum_{n=0}^{\infty} (-1)^n x^{n}∑n=0∞(−1)nxn
∑n=0∞xn\sum_{n=0}^{\infty} x^{n}∑n=0∞xn