If f'(a) exists, then lim f(x) A. must exist, but there is not enough information to determine its value. B. is equal to f(a). OC. is equal to f'(a). D. might not exist. O E. does not exist. In the answer box below, explain your reasoning for the choice you made above. Use complete sentences and correct grammar, spelling, and punctuation. Be specific and detailed. Write as if you were explaining the answer to someone else in class.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If f'(a) exists, then lim f(x)
xa
A. must exist, but there is not enough information to determine its value.
B. is equal to f(a).
C. is equal to f'(a).
D. might not exist.
O E. does not exist.
In the answer box below, explain your reasoning for the choice you made above. Use complete sentences and correct grammar,
spelling, and punctuation. Be specific and detailed. Write as if you were explaining the answer to someone else in class.
Transcribed Image Text:If f'(a) exists, then lim f(x) xa A. must exist, but there is not enough information to determine its value. B. is equal to f(a). C. is equal to f'(a). D. might not exist. O E. does not exist. In the answer box below, explain your reasoning for the choice you made above. Use complete sentences and correct grammar, spelling, and punctuation. Be specific and detailed. Write as if you were explaining the answer to someone else in class.
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