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

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15 Sep 2018

School

Department

Course

Professor

Miami University

MTH 151

Calculus I

Winter 2018

Final Exam

Supplementary Study Guide

Exam Guide

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

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

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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

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• Infinite limits

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