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Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 3. lim h-0 g(3+h)-g(3) h lim g(x) exists. x-7 lim g(x) = -2. x-3 None of the above. = -2.

Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 3. lim h-0 g(3+h)-g(3) h lim g(x) exists. x-7 lim g(x) = -2. x-3 None of the above. = -2.

Calculus For The Life Sciences
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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Question Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must be true. Select all that apply: U ▬ g(x) is continuous at x = 3. lim h→0 g(3+h)-g(3) h lim g(x) exists. x→7 lim g(x) = -2. x-3 None of the above. = -2.
Transcribed Image Text:Question Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must be true. Select all that apply: U ▬ g(x) is continuous at x = 3. lim h→0 g(3+h)-g(3) h lim g(x) exists. x→7 lim g(x) = -2. x-3 None of the above. = -2.
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