The graph of the function f(z) = 0.5-z² satisfies lim f(z) = 0.5. z+1 Note: You can click on the graph to enlarge the image. Determine a value 8 >0 that satisfy each statement. (a) if 0 < |z − 1| < 8, then |ƒ(z) — 0.5| < 0.25. A good value would be 8 < (b) if 0 < |z − 1| < 8, then |ƒ(z) — 0.5| < 0.125. A good value would be 8 < help (numbers)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The graph of the function f(x) = 0.5-² satisfies lim f(x) =
= 0.5.
H1
2.5
1,0
3
Note: You can click on the graph to enlarge the image.
Determine a value > 0 that satisfy each statement.
(a) if 0 < |z − 1| < 8, then |ƒ(z) — 0.5| < 0.25. A good value would be > <
(b) if 0 < |z − 1| < 8, then |ƒ(z) – 0.5| < 0.125. A good value would be > <
help (numbers)
Transcribed Image Text:The graph of the function f(x) = 0.5-² satisfies lim f(x) = = 0.5. H1 2.5 1,0 3 Note: You can click on the graph to enlarge the image. Determine a value > 0 that satisfy each statement. (a) if 0 < |z − 1| < 8, then |ƒ(z) — 0.5| < 0.25. A good value would be > < (b) if 0 < |z − 1| < 8, then |ƒ(z) – 0.5| < 0.125. A good value would be > < help (numbers)
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