Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Pls answer part ii

Problem 2: Find limits using the squeeze theorem The squeeze theorem is a theorem used in calculus to evaluate a limit of a function. The theorem is particularly useful to evaluate limits where other techniques might be unnecessarily complicated. i) Research what the Squeeze Law is and write a brief summary using your own words. i1) The sequence {a,} is an infinite sequence (i.e n → 0) and satisfies the inequality such that 2n²-7 < an 3n²+8 for all positive integers n. 4n+5 6n-1 Зпап Apply the squeeze theorem to find lim by answering the following questions. n-o (n+1)2 3nan 1) Write an inequality for (n+1) 2) Use either numerical or graphical methods to estimate limits for each of the functions on either side of the inequality in part a). 3nan 3) Hence find lim n-0o (n+1)2
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Transcribed Image Text:Problem 2: Find limits using the squeeze theorem The squeeze theorem is a theorem used in calculus to evaluate a limit of a function. The theorem is particularly useful to evaluate limits where other techniques might be unnecessarily complicated. i) Research what the Squeeze Law is and write a brief summary using your own words. i1) The sequence {a,} is an infinite sequence (i.e n → 0) and satisfies the inequality such that 2n²-7 < an 3n²+8 for all positive integers n. 4n+5 6n-1 Зпап Apply the squeeze theorem to find lim by answering the following questions. n-o (n+1)2 3nan 1) Write an inequality for (n+1) 2) Use either numerical or graphical methods to estimate limits for each of the functions on either side of the inequality in part a). 3nan 3) Hence find lim n-0o (n+1)2
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