Let f(x) = x +5 and note that lim f(x) = 5. For each value of e given below, use a graphing utility to find the maximum value of 8 > 0 such that [f(x) - 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x)= x +5 and note that lim f(x) = 5. For each value of e given below, use a graphing utility to find the maximum value of & > 0 such that |f(x) – 5| < ɛ whenever 0< |x - 0] < 8.
%3D
(a) =2
(b) = 1
.....
(a) Choose the correct answer below.
O A. 8 =2
O B. 8=1.414
C. 8 =1.667
D. There is no such value of d.
Transcribed Image Text:Let f(x)= x +5 and note that lim f(x) = 5. For each value of e given below, use a graphing utility to find the maximum value of & > 0 such that |f(x) – 5| < ɛ whenever 0< |x - 0] < 8. %3D (a) =2 (b) = 1 ..... (a) Choose the correct answer below. O A. 8 =2 O B. 8=1.414 C. 8 =1.667 D. There is no such value of d.
The function f in the figure satisfies lim f(x) = 4. Determine the maximum value of 8 >0 satisfying each statement.
Ay
10-
a. If 0< |x-5| < 8, then f(x) - 4 < 1.
b. If 0< x-5 < 8, then f(x)- 4| <0.5.
5-
YE f(x)
10
a. 8 =
F5
Transcribed Image Text:The function f in the figure satisfies lim f(x) = 4. Determine the maximum value of 8 >0 satisfying each statement. Ay 10- a. If 0< |x-5| < 8, then f(x) - 4 < 1. b. If 0< x-5 < 8, then f(x)- 4| <0.5. 5- YE f(x) 10 a. 8 = F5
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