MATH 166 Midterm: MATH 166 Iowa State MidtermDFS17MSpring2017

• School: Iowa State University
• Department: Mathematics
• Course: MATH 166
• Professor: All

Document Summary

This test is closed book and closed notes. A (graphing) calculator is allowed for this test but can- not also be a communication device (e. g. , your cellphones or tablets are not calculators). You do not need to simplify your answers unless otherwise indicated. When applying a test for convergence write what test is used (e. g. , compar- ison, integral, limit comparison, alternating series test, and so on). Show your work (legibly); answers without work and/or justi cations will not receive credit. 10 points; the remaining problems are each worth 8 points; for a total of 50 points. Do not begin this test until instructed to start score. Do not write in these boxes on the exam: let f(x) = ln(cid:18)sec(x) 4 ) = 2. ) (a) find p2(x), the taylor polynomial of order two, for f(x) centered at . 4 . (b) find the best number m for which |f(3)(y)| 6 m for all y between 0 and .