5615H_MT2 - Math 5615H. Name (Print) November 16, 2011. 2nd...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 5615H. November 16, 2011. 2nd Midterm Exam. Name (Print) 60 points are distributed between 5 problems. You have 50 minutes (2:30 pm – 3:20 pm) to work on these problems. No books, no notes, except for: Appendix A. Exponential and Logarithmic Functions (3 pages). Calculators are permitted, however, for full credit, you need to show step- by-step calculations. This booklet consists of 7 page: the title page (this one), 5 pages (pp. 2–6) contain 5 problems. The almost empty page 7 can also be used for solutions. Some facts: 1. The number e = lim n →∞ 1 + 1 n · n = X n =0 1 n ! = 2 . 71828 .... 2. y = ln x for x > 0 ⇐⇒ x = e y ; 1 n + 1 < ln 1 + 1 n · < 1 n for n = 1 , 2 , 3 ,.... 3. X n =1 1 n p converges ⇐⇒ p > 1 . 4. If | a n | ≤ c n for n = 1 , 2 , 3 ,... , then X n =1 c n converges = X n =1 a n converges .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Math 5615H. November 16, 2011. 2nd Midterm Exam. Page 2. Problem 1.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

5615H_MT2 - Math 5615H. Name (Print) November 16, 2011. 2nd...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online