Explanation Given: The given function is: f ( x ) = 9 tan x . Calculation: The domain of the function is: d o m ( f ) = { x ∈ ℝ : x π + 1 2 ∉ ℤ } . Here, f ( a ) = 9 tan a . L e f t − H a n d L i m i t = lim x → a − f ( x ) = lim h → 0 9 tan ( a − h ) = lim h → 0 9 tan a − tan h 1 + tan a ⋅ tan h = 9 tan a − tan 0 1 + tan a ⋅ tan 0 = 9 tan a − 0 1 + tan a ⋅ 0 = 9 tan a 1 = 9 tan a And, R i g h t − H a n d

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 2.4, Problem 48E

To determine

The domain of the function f(x)=9tanx and proof of its continuity on its domain using the Laws of Continuity.

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Chapter 2.4, Problem 47E

Chapter 2.4, Problem 49E

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Chapter 2 Solutions

Calculus - Standalone book

Ch. 2.1 - Prob. 1PQ Ch. 2.1 - Prob. 2PQ Ch. 2.1 - Prob. 3PQ Ch. 2.1 - Prob. 4PQ Ch. 2.1 - Prob. 5PQ Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E

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The domain of the function f ( x ) = 9 tan x and proof of its continuity on its domain using the Laws of Continuity.

Solution Summary: The author describes the domain of the function f(x)=9mathrmtanx and proof of its continuity on its domain using the Laws of Continuity.

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The domain of the function f(x)=9tanx and proof of its continuity on its domain using the Laws of Continuity.

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Chapter 2 Solutions