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Q. 43

Found in: Page 107


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

For each limit statement in Exercises 41-44, use algebra to find δ or N in terms of ε or M, according to the appropriate formal limit definition.

limx1-11-x=, find δ in terms of M.

For limx1-11-x=, δ=1M.

See the step by step solution

Step by Step Solution

Step 1. Given information


Step 2. From the limit expression,


Now for δ>0.

x-1<δ1-x<δ11-x<δ11-x<δ <M

Hence, δ=1M.

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