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TEST 1 (MAT 370, REVIEW)
ASU ID:.NAME:. 1. Use mathematical induction to prove the following statements. Statement 1: Given a prime number then
Statement 2:
2. Write binary representation for 3. Prove that the sequence
MAT 370/371 Exams
Spring 2002
Exam 1
1. (15 pts) Denitions. (a) Give the precise denition of
xx0
lim f (x) = L.
(b) Give an example where such a limit does not exist. (c) Let the domain of the function f be N, the natural numbers, and let f (x) = x
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TEST 2 (MAT 370)
ASU ID:.NAME:. 1. How one can define each of the following functions at continuous at Function 1: so that the resulted function is
Function 2:
Function 3:
2. Determine where the following functions are
TEST 2 (MAT 370, REVIEW)
ASU ID:.NAME:. 1. How one can define each of the following functions at a given point function is continuous at Function 1: so that the resulted
Function 2:
Function 3:
2. Determine where the following functions are contin
Chapter 0
PRELIMINARIES
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This chapter contains t h e b a s i c material on sets, functions, r e l a t i o n s and induction, as well as t h e syater of real numbers. Your s t u d e n t s may have seen a good share of this material before. You wil