MathProblemsBank

2.8.16 Power series

Problem: Expand function \( y(x) \) into a power series in the vicinity of the point \( x_{0} \), where 1) \( y=9^{3 x}, \quad x_{0}=-2 \), 2) \( y=\frac{1}{x^{2}+9 x+20}, \quad x_{0}=0 \).