# Calculating Limits Using Algebra

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## Lecture Notes

#### Some Trigonometric Limits

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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.

Instructor: Prof. Jason Starr
Prior Knowledge: Trigonometric Identities (section 2 of this lecture)
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## Exam Questions

#### Limits and Continuity

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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.

Instructor: Prof. David Jerison
Prior Knowledge: Limits and Continuity (CR-C)
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#### Evaluating Derivatives and Limits

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Problem 1 (page 1)

Four-part question involving the evaluation of three derivatives and a limit.

Instructor: Prof. David Jerison
Prior Knowledge: None
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#### Evaluating Limits

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Problem 6 (page 1)

Finding the limits of two expressions.

Instructor: Prof. David Jerison
Prior Knowledge: None
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PDF
Problem 15 (page 2)

Three limits involving trigonometric, logarithmic, and exponential functions.

Instructor: Prof. David Jerison
Prior Knowledge: None
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