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1. Use the e-8 definition of the limit to show that x3 – 2x + 4 lim X-ix2 + 4x – 3 3 !3! Use the sequential criteria for limits, to show that the following limit does not exist limsgn ( cos X-2 (x-2)". where sen is the signum function.

1. Use the e-8 definition of the limit to show that x3 – 2x + 4 lim X-ix2 + 4x – 3 3 !3! Use the sequential criteria for limits, to show that the following limit does not exist limsgn ( cos X-2 (x-2)". where sen is the signum function.

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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1. Use the e-8 definition of the limit to show that x3 – 2x + 4 lim 3 x-1x2 + 4x – 3-2 Use the sequential criteria for limits, to show that the following limit docs not exist limsgn cos x-2 where sgn is the signum function.
Transcribed Image Text:1. Use the e-8 definition of the limit to show that x3 – 2x + 4 lim 3 x-1x2 + 4x – 3-2 Use the sequential criteria for limits, to show that the following limit docs not exist limsgn cos x-2 where sgn is the signum function.
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