Suppose g(x) is differentiable at x = −7, g(−7) = 4, and g'(-7)= 2. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 4. lim h→0 g(−7+h) − g(−7) h Olim g(x) exists. Olim g(x) = 2. x-4 None of the above. = 4.

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.
Chapter4: Calculating The Derivative
Section4.3: The Chain Rule
Problem 52E: Margy and Nate are working on taking the derivative of fx=23x+14. Margy uses the quotient rule and...
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Suppose g(x) is differentiable at x = -7, g(−7) = 4, and g'(-7)= 2. Select all statements that must be true.
Select all that apply:
g(x) is continuous at x = 4.
lim
h→0
g(−7+ h) − g(−7)
h
lim g(x) exists.
x--7
lim g(x) = 2.
x-4
None of the above.
= 4.
Transcribed Image Text:Suppose g(x) is differentiable at x = -7, g(−7) = 4, and g'(-7)= 2. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 4. lim h→0 g(−7+ h) − g(−7) h lim g(x) exists. x--7 lim g(x) = 2. x-4 None of the above. = 4.
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