Determine whether the following statements are true and give an explanation or counterexample. Assume a and L

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Determine whether the following statements are true and give an explanation or counterexample. Assume a and L are finite numbers.

a. If lim_x→a f(x) = L, then f(a) = L.

b. If lim_x→a f(x) = L, then lim_x→a^₊ f(x) = L.

c. If lim_x→a f(x) = L and lim_x→a g(x) = L, then f(a) = g(a).

d. The limit lim_x→a f(x)/g(x) does not exist if g(a) = 0.

e. If it follows that

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 06, 2019 01:21 PM

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Determine whether the following statements are true and give an explanation or counterexample. Assume a and L

Question:

lim Vf(x) = V lim f(x). lim Vf(x) = Vlim f(x).

Step by Step Answer:

a False For example if b False For example if c False For example if then f and g ...View the full answer

Calculus Early Transcendentals

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