If lim f(x)=7, which of the following must be true? x→3 f is continuous at x = 3. f is differentiable at x = 3. f(3) = 7 (A) None (D) I and III only I. II. III. (B) II only (E) I, II, and III (C) III only
If lim f(x)=7, which of the following must be true? x→3 f is continuous at x = 3. f is differentiable at x = 3. f(3) = 7 (A) None (D) I and III only I. II. III. (B) II only (E) I, II, and III (C) III only
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.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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![If lim f(x)=7, which of the following must be true?
x→3
f is continuous at x = 3.
f is differentiable at x = 3.
f(3) = 7
(A)
None
(D) I and III only
I.
II.
III.
(B) II only
(E) I, II, and III
(C) III only](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bb29282-63cc-412a-a2dd-5fc661270035%2F70d0ce23-e7f8-4cc2-9514-c7943f6e5b9b%2Fdstsya9_processed.png&w=3840&q=75)
Transcribed Image Text:If lim f(x)=7, which of the following must be true?
x→3
f is continuous at x = 3.
f is differentiable at x = 3.
f(3) = 7
(A)
None
(D) I and III only
I.
II.
III.
(B) II only
(E) I, II, and III
(C) III only
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