n sin 1. Consider the power series f(x) = (x + 2)2n+1 n=1 (a) Find the radius of convergence for the power series f(x). (b) Find f(100) (-2) and f(101) (-2). (c) Consider another power series Cn(x 3)". Given that this con- n=0 verges at x = 1 and diverges and x = 7, does it converge or diverge at each of the following 2-values, or it cannot be determined? Provide explanation for each of the value. -6 -4 - 2 2 4 5 9 n sin 1. Consider the power series f(x) = (x + 2)2n+1 n=1 (a) Find the radius of convergence for the power series f(x). (b) Find f(100) (-2) and f(101) (-2). (c) Consider another power series Cn(x 3)". Given that this con- n=0 verges at x = 1 and diverges and x = 7, does it converge or diverge at each of the following 2-values, or it cannot be determined? Provide explanation for each of the value. -6 -4 - 2 2 4 5 9