Suppose f and g are functions whose domains are subets of Z*, the set of posstive integers Use the definition of "f is O(9)" to show that (a) 2" + 100 1s O(10") (b) 10° is not O(2")

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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Suppose f and g are functions whose domains are subsets of Z*, the set of psative integers Use the definition
of
"f 1s O(g)"
to show that
(a) 2" + 100 is O(10"}
(b) 10° 1s not O(2")
02:56 PM
2021-09-19
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Words: 0
B I E E E 90% e
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14: I ·13• I • 12• I •11" | ·10:| ·9·|"88' |:7·|'6'|·5 · | :4•1•3•l•2·L·1•1•| •|•1•1:2 ]|
Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W A A Find - % Cut - =,年章 ↓ T Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcD AaBbC AaBbCc AaBI AqBbCcl E Copy a Replace Paste B I U - abe x, x A ab A I Normal I No Spaci.. Heading 1 Heading 2 Change Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing L • 2:1: 1: | 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18. Suppose f and g are functions whose domains are subsets of Z*, the set of psative integers Use the definition of "f 1s O(g)" to show that (a) 2" + 100 is O(10"} (b) 10° 1s not O(2") 02:56 PM 2021-09-19 Page: 1 of 1 Words: 0 B I E E E 90% e + 14: I ·13• I • 12• I •11" | ·10:| ·9·|"88' |:7·|'6'|·5 · | :4•1•3•l•2·L·1•1•| •|•1•1:2 ]|
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