In each of 1 through 8, determine the radius of convergence of the given power series.n=1(2x + 1)nn2

1.3 Solving Equations Definition: two equations are equivalent if they share the same solutions. Definition: a, b, c ∈ R 1. a = b i s Equivalent to a + c = b + c 2. a = b quivalent t o ac = b c≠0) Example: y + 4.3 = 11.2→ y = 11.2 - 4.3 → y = 6.9 Definition: Linear Equation: T ypes o f Solutions: 1. Solution set i s R, identity Example: 2x + 2 → 0 = 0 2. olution s et is , contradiction Example: x + = 3 x = → 0 = 1 3. nique solution, c