Using the Cauchy Integral Test, if lim b dx b-yooJi xp is finite (converges), then which of the following must be true ? A) 1 1 TIM 8 converges (B) up diverges (C) n=1nP-2 converges TIM8 TM 8 (D) 1 converges (E) 1 n=1 mp- n=1P+Id diverges The series I'M 8 (-1)n 30 n! (A) converges absolutely (B) converges conditionally (C) diverges Which series below is the Maclaurin series for f(x) = cos x ? 1 2 4 (A) 1+x+ B 1- 2! 3! 4! 2! 4! 6! (C) x' 3! (D x- 5! 7! + ... 3 5 The slope of the tangent line to the polar curve r = f(0) =3 sin 0 at the point where 0 = 1/3 is: (A) -1 (B) 1 (C) V3 (D) -V3 The interval of convergence for the geometric power series IM 8 is: (A) (-3, 3) (B) [-3, 3) (C) (-3, 3] (D) [-3, 3 ]