Fall 2012 Math 152 Quiz 5 (§ 10.5) Section ________ Name ____________________ There are 3 problems. Show all steps to receive full credit! Neat handwriting is expected. Calculators/notes/books are not allowed. 1. Find the radius of convergence of the power series ∑
a. 0 b. c. 3 d. !
d. ∞ 2. Given the power series ∑
converges when 4 , which of the following statements is certain to be true? a. ∑
2 is convergent b. ∑
6 is divergent 9 is convergent c. ∑
4 is divergent d. ∑
e. None of these statements are certain to be true 3. Find the interval of convergence of the series ∑
. 4. What does it mean to say ∑
is convergent? 0 a. lim
b. lim
exists c. lim
exists d. There are numbers and such that e. There are numbers B and B such that for all (Relax. #4 is a bonus. 0.5 points.) for all