This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
Lecture Notes
PDF
Section 3, Page 2 to page 3
Limit as x->0 of sin(x)/x is 1. Limit as x->0 of (cosx - 1)/x is 0.
Prof. Jason Starr
Trigonometric Identities (section 2 of this lecture)
Back to Top
Exam Questions
PDF - 2.2 MB
#Problem 1D-1 (page 3) to problem 1D-10 (page 4)
Ten questions which involve calculating one- and two-sided limits, identifying points of discontinuity, and making piecewise defined functions continuous and differentiable.
Prof. David Jerison
Limits and Continuity (CR-C)
Solution (PDF - 4.1 MB)# Pages 7 to 8
Back to Top
PDF
Problem 1 (page 1)
Four-part question involving the evaluation of three derivatives and a limit.
Prof. David Jerison
None
Solution (PDF)# Page 1
Back to Top
PDF
Problem 6 (page 1)
Finding the limits of two expressions.
Prof. David Jerison
None
Solution (PDF)# Page 1
Back to Top
PDF
Problem 15 (page 2)
Three limits involving trigonometric, logarithmic, and exponential functions.
Prof. David Jerison
None
Solution (PDF)# Page 1
Back to Top
