Explanation Given information: The limit of functions, neither lim x → c f ( x ) nor lim x → c g ( x ) exists, but lim x → c [ f ( x ) + g ( x ) ] . Calculation: Consider two opposite functions such that f ( x ) = − g ( x ) . Let function, f ( x ) = 1 x − c , So, will be g ( x ) = − 1 x − c The limit, lim x → c 1 x − c and lim x → c − 1 x − c

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 2, Problem 88SP

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To give an example for which neither limx→cf(x) nor limx→cg(x) exists, but limx→c[f(x)+g(x)] .

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Chapter 2, Problem 87SP

Chapter 2, Problem 89SP

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Chapter 2 Solutions

Student's Solution and Survival Manual for Calculus

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To give an example for which neither lim x → c f ( x ) nor lim x → c g ( x ) exists, but lim x → c [ f ( x ) + g ( x ) ] .

Solution Summary: The author explains that the limit of functions is undersetxto cmathrmlimf(x-)

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To give an example for which neither limx→cf(x) nor limx→cg(x) exists, but limx→c[f(x)+g(x)] .

Want to see the full answer?

Chapter 2 Solutions