Which of the following statements are true, and which are false? If true, say why; if false,

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Which of the following statements are true, and which are false? If true, say why; if false, give a counterexample (that is, an example confirming the falsehood).

a. If lim_x→c ƒ(x) exists but lim_x→c g(x) does not exist, then lim_x→c(ƒ(x) + g(x)) does not exist.

b. If neither lim_x→c ƒ(x) nor lim_x→c g(x) exists, then lim_x→c (ƒ(x) + g(x)) does not exist.

c. If ƒ is continuous at x, then so is |ƒ |.

d. If |ƒ| is continuous at c, then so is ƒ.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 15, 2023 05:39 AM

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Which of the following statements are true, and which are false? If true, say why; if false,

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Step by Step Answer:

a False We can have a situation where the limit of x exists but the limit of gx does not e...View the full answer

Thomas Calculus Early Transcendentals

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