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Investigate the family of functions fn(x) = tanh(n sin x)where n is a positive integer. Describe what happens to thegraph of  fn when n becomes large.

Investigate the family of functions fn(x) = tanh(n sin x)where n is a positive integer. Describe what happens to thegraph of  fn when n becomes large.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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Investigate the family of functions

fn(x) = tanh(n sin x)
where n is a positive integer. Describe what happens to the
graph of  fn when n becomes large.

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