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Study Guide

Textbook Guide Mathematics: Rational Number, Asymptote, Logarithm


Department
Mathematics
Course Code
MAT133Y1
Professor
all

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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 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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o Another example of a function whose graph has a vertical
asymptote is the natural logarithmic function
2.3 Calculating Limits Using the Limit Laws
Laws:
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2.4 The Precise Definition of a Limit
Definition
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o It can be expressed in words as
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Infinite Limits
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