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Q. 43

Expert-verified

Calculus

Found in: Page 860

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

Evaluate the limits in Exercises 42–45.
$\underset{t \to π}{l i m} (\sin t, \cos t, s e c t)$

The evaluation of the limit $\underset{t \to π}{l i m} (\sin t, \cos t, s e c t)$ is $(0, - 1, - 1)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The function:

$\underset{t \to π}{l i m} (\sin t, \cos t, s e c t)$

Step 2. Apply the limits.

By applying the limit and solving,

$\underset{t \to π}{l i m} (\sin t, \cos t, s e c t) = \underset{t \to π}{l i m} (\sin t) i + \underset{t \to π}{l i m} (\cos t) j + \underset{t \to π}{l i m} (s e c t) k = sinπ i + cosπ j + s e c πk = 0 i - j - k = (0, - 1, - 1)$

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