MTH 151 Study Guide - Final Guide: Inverse Hyperbolic Function, Indeterminate Form, Riemann Sum

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Miami University
MTH 151
Calculus I
Winter 2018
Final Exam
Supplementary Study Guide
Exam Guide
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Textbook Summaries
Table of Contents:
Chapter 2: Limits and Derivatives
Chapter 3: Differential Rules
Chapter 4: Applications of Differentiation
Chapter 5: Integrals
Chapter 6: Applications of Integrals
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Chapter 2: Limits and Derivatives
2.1 The Tangent and Velocity Problems
Limits arise when we attempt to find the tangent to a curve or the velocity of an object.
2.2 The Limit of a Function
o
o It is easy to guess the wrong value if we use inappropriate values of , but it is difficult to
know when to stop calculating values.
o Sometimes calculators and computers give the wrong values.
One-sided limits
o
o
Infinite limits
o
o
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