This is a 180-minute exam. No notes, books, or calculators are permitted. Point values. (out of 100) are indicated for each problem. |
Practice exams with solutions are provided below. Actual exams are not available to OCW users. EXAMS, SOLUTIONS. Practice midterm 1 (PDF) · Practice midterm ... |
The exam consists of 11 problems. Your total exam score is the sum of your scores for the. 10 problems best solved. Please do all your work in this exam booklet ... |
Limits and Continuity. (2.1) Let (xn) and (yn) be sequences of real numbers converging to x and y respectively. Prove that (xnyn) converges to xy. |
Real Analysis · Syllabus · Calendar · Lecture Notes and Readings · Lecture Videos · Recitations · Assignments and Exams ... |
MAT337, Real Analysis. Midterm 1. Solutions. 1. (a) Give a definition of a Cauchy sequence. A sequence an os real numbers is called Cauchy if for any real ... |
(a) Write out the Taylor polynomial P2(x) of order two at x = 0 for the function √1 + x. and give an expression for the remainder R2(x) in Taylor's formula. |
Math 140A: Final Exam. Foundations of Real Analysis. • You have 3 hours. • No books and notes are allowed. • You may quote any result stated in the textbook ... |
Real Analysis-Exam, December 11, 2002. Please explain every step in detail. With a proper reference you may use anything from class and from the homework ... |
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