If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded about the values of f at x = 1? Explain. X-1 Must f be defined at x= 1? Yes No If f is defined at x = 1, must f(1) = 5? O A. No, because even if a function is defined at a particular point, it may not exist at that point. O B. Yes, because if it is defined at x = 1, the f(1) must equal lim f(x). X-1 OC. No, because it might be a piecewise function where the limit approaching 1 from the left and the limit approaching 1 from the right are the same, but f(1) might be defined as a different value. Can anything be concluded about the values of f at x = 1? OA. No, nothing can be concluded without knowing more about the definition of f. O B. Yes, f(1) must equal 5.
If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded about the values of f at x = 1? Explain. X-1 Must f be defined at x= 1? Yes No If f is defined at x = 1, must f(1) = 5? O A. No, because even if a function is defined at a particular point, it may not exist at that point. O B. Yes, because if it is defined at x = 1, the f(1) must equal lim f(x). X-1 OC. No, because it might be a piecewise function where the limit approaching 1 from the left and the limit approaching 1 from the right are the same, but f(1) might be defined as a different value. Can anything be concluded about the values of f at x = 1? OA. No, nothing can be concluded without knowing more about the definition of f. O B. Yes, f(1) must equal 5.
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 2CR
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