Practice problem
What is the interval of convergence for the following series? ∑i=0∞(x2x+1)i\sum_{i=0}^\infty \left(\frac{x^2}{x+1}\right)^ii=0∑∞(x+1x2)i
(−∞,1+52)(-\infty, \frac{1+\sqrt{5}}{2})(−∞,21+5)
(1−52,1+52)(\frac{1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2})(21−5,21+5)
(−1−52,1+52)(\frac{-1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2})(2−1−5,21+5)
[1−52,1+52][\frac{1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2}][21−5,21+5]
(−1−52,∞)(\frac{-1-\sqrt{5}}{2}, \infty)(2−1−5,∞)
Type a concept, like “slope” or “photosynthesis”.