Find the average rate of change of the function over the given interval. R(0) = √30+1; [1,8] AR ΔΘ (Simplify your answer.) Suppose that a function f(x) is defined for all real values of x except at x = c. Can anything be said about the existence of lim f(x)? Give reasons for your answer. X-C A. At x=c, lim f(x) does not exist because it is likely that the function oscillates or jumps at that point. X-C OB. At x=c, lim f(x) does not exist because the function is undefined at the point x = c. X-C OC. At x=c, lim f(x) exists, and its value is the average of the values obtained as x approaches c from the right and fro X-C OD. Nothing can be said about the existence of the limit. The function might approach the same value from both sides, c

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.CR: Chapter 4 Review
Problem 6CR: Determine whether each of the following statements is true or false, and explain why. The only...
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20.
Find the average rate of change of the function over the given interval.
R(0) = √30 + 1;
[1,8]
AR
ΔΘ
(Simplify your answer.)
21. Suppose that a function f(x) is defined for all real values of x except at x = c. Can anything be said about the existence of
lim f(x)? Give reasons for your answer.
X→C
A. At x=c, lim f(x) does not exist because it is likely that the function oscillates or jumps at that point.
X-C
B. At x=c, lim f(x) does not exist because the function is undefined at the point x = C.
X-C
C. At x=c, lim f(x) exists, and its value is the average of the values obtained as x approaches c from the right and fro
X-C
OD. Nothing can be said about the existence of the limit. The function might approach the same value from both sides, c
18. Find the limit
Transcribed Image Text:20. Find the average rate of change of the function over the given interval. R(0) = √30 + 1; [1,8] AR ΔΘ (Simplify your answer.) 21. Suppose that a function f(x) is defined for all real values of x except at x = c. Can anything be said about the existence of lim f(x)? Give reasons for your answer. X→C A. At x=c, lim f(x) does not exist because it is likely that the function oscillates or jumps at that point. X-C B. At x=c, lim f(x) does not exist because the function is undefined at the point x = C. X-C C. At x=c, lim f(x) exists, and its value is the average of the values obtained as x approaches c from the right and fro X-C OD. Nothing can be said about the existence of the limit. The function might approach the same value from both sides, c 18. Find the limit
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