(Group C) Let c ER and let f: R → R be such that lim(f(x))² = L. (a) Suppose L = 0. Does this imply that lim(f(x)) = 0? If so, prove it. If not, provide a counterexample. x-C I-C I-C (b) Suppose L‡0. Does lim(f(x))² = L imply that lim(f(x)) exists? If so, prove it. If not, x-C provide a counterexample.
(Group C) Let c ER and let f: R → R be such that lim(f(x))² = L. (a) Suppose L = 0. Does this imply that lim(f(x)) = 0? If so, prove it. If not, provide a counterexample. x-C I-C I-C (b) Suppose L‡0. Does lim(f(x))² = L imply that lim(f(x)) exists? If so, prove it. If not, x-C provide a counterexample.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 3YT: Find limx3f(x) if f(x)={2x1ifx31ifx=3.
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Transcribed Image Text:4. (Group C) Let c ER and let f: RR be such that lim(f(x))² = L.
X-C
(a) Suppose L = 0. Does this imply that lim(f(x)) = 0? If so, prove it. If not, provide a
counterexample.
X→C
(b) Suppose L #0. Does lim (f(x))² = L imply that lim(f(x)) exists? If so, prove it. If not,
X-C
provide a counterexample.
X-C
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