MATH 341, ANALYSIS I-FIRST TEST, Feb. 18, 2013.
Instructions. Closed book, closed notes, no electronics. Time given:
50 min. 20 pts per problem. Full details for full credit.
1. Using only the denition of lim an = L, show that convergent sequences are bou
MATH 341, ANALYSIS I-SECOND TEST, Mar. 20, 2013.
Instructions. Closed book, closed notes, no electronics. Time given:
50 min. 20 pts per problem. Full details for full credit.
1. Let f : R R be continuous. Prove that if U R is an open set,
the preimage f
MATH 341, ANALYSIS I-THIRD TEST, April 22, 2013.
Instructions. Closed book, closed notes, no electronics. Time given:
50 min. 10 pts per item. Full details for full credit.
1. Consider fn : [0, ) R, fn (x) =
x2
1+xn .
(i) Compute the pointwise limit f : [