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Read the example at the bottom of p34 of the notes, concerning the limit of the sequence (1/n). For this example: give (with explanation) three values of N that "work" with the definition for ε = 1/10, and three values of N for = 1/100.

Read the example at the bottom of p34 of the notes, concerning the limit of the sequence (1/n). For this example: give (with explanation) three values of N that "work" with the definition for ε = 1/10, and three values of N for = 1/100.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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. Read the example at the bottom of p34 of the notes, concerning the limit of the sequence (1/n). For this example: give (with explanation) three values of N that "work" with the definition for ε = 1/10, and three values of N for ε = 1/100.
Transcribed Image Text:. Read the example at the bottom of p34 of the notes, concerning the limit of the sequence (1/n). For this example: give (with explanation) three values of N that "work" with the definition for ε = 1/10, and three values of N for ε = 1/100.
Exampler lim Yn =0, nico then Since VESO, if we take N=1/ε n>N>0 =>0< < = = 1 / ₁₂ = E₁ So [n>N] => [1¼½-01<ε] for this N.
Transcribed Image Text:Exampler lim Yn =0, nico then Since VESO, if we take N=1/ε n>N>0 =>0< < = = 1 / ₁₂ = E₁ So [n>N] => [1¼½-01<ε] for this N.
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