Homework #2 Spring 2010 Homework solutions by: Liem Tran
Math 131A
Due: Feb. 16 Prof. Maruskin
4.1-4.4 For each set below that is bounded above, list three upper bounds for the set. Otherwise write "NOT BOUNDED ABOVE" or "NBA." Repeat for lower bounds. Fo
Homework #3 Spring 2010 Homework solutions by: Liem Tran
Math 131A
Due: Mar. 4 Prof. Maruskin
9.1 Using the limit theorems 9.2-9.6 and 9.7, prove the following. Justify all steps. (a) lim n+1 =1 n lim n+1 1 = lim 1 + n n = lim(1) + lim =1+0 =1 (b) lim 3n
Homework #4 Spring 2010 Homework solutions by: Liem Tran.
Math 131A
Due: Feb. 11 Prof. Maruskin
12.2 Prove that lim sup |sn | = 0 if and only if lim sn = 0. Assume lim sup |sn | = 0 for n > N , then lim sn = 0 because the absolute values of the supremums