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A mistake includes but is not limited to a false statement; a statement that is not a logic consequence of its proceeding statement; a statement that is not usefull for or related to the final results. Prove lim,-2 3x2 – - x = 14. Proof for e > 0, we need 3x2 – x – 14| < e. This is |(x +2)(3.x – 7)|< e SO |æ + 2| < |3x – 7| |3x| + 7 Therefore, we just need to pick 8 = $, then when |x + 2| < 8 = , we have |(x + 2)(3x – 7)|< e whch shows the limit=14.

A mistake includes but is not limited to a false statement; a statement that is not a logic consequence of its proceeding statement; a statement that is not usefull for or related to the final results. Prove lim,-2 3x2 – - x = 14. Proof for e > 0, we need 3x2 – x – 14| < e. This is |(x +2)(3.x – 7)|< e SO |æ + 2| < |3x – 7| |3x| + 7 Therefore, we just need to pick 8 = $, then when |x + 2| < 8 = , we have |(x + 2)(3x – 7)|< e whch shows the limit=14.

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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A mistake includes but is not limited to a false statement; a statement that is not a logic consequence of its proceeding statement; a statement that is not usefull for or related to the final results. Prove lim,-2 3x2 – - x = 14. Proof for e > 0, we need 3x2 – x – 14| < e. This is |(x + 2)(3x – 7)|< e SO |æ + 2| < |3x – 7| |3x| + 7 Therefore, we just need to pick 8 = $, then when |x + 2| < 8 = , we have |(x + 2)(3x – 7)| < e whch shows the limit=14.
Transcribed Image Text:A mistake includes but is not limited to a false statement; a statement that is not a logic consequence of its proceeding statement; a statement that is not usefull for or related to the final results. Prove lim,-2 3x2 – - x = 14. Proof for e > 0, we need 3x2 – x – 14| < e. This is |(x + 2)(3x – 7)|< e SO |æ + 2| < |3x – 7| |3x| + 7 Therefore, we just need to pick 8 = $, then when |x + 2| < 8 = , we have |(x + 2)(3x – 7)| < e whch shows the limit=14.
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