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Problem 3. Recall that a = ebIna, for all a > 0 and all b. (1) Compute the limit 1 lim (1+ -)" by carefully performing one step of computation at a time. Try not to skip steps and make sure you understand how each step is justified.

Problem 3. Recall that a = ebIna, for all a > 0 and all b. (1) Compute the limit 1 lim (1+ -)" by carefully performing one step of computation at a time. Try not to skip steps and make sure you understand how each step is justified.

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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Problem 3. Recall that a = ebIna, for all a > 0 and all b. (1) Compute the limit 1 lim (1+ -)" n00 by carefully performing one step of computation at a time. Try not to skip steps and make sure you understand how each step is justified. (2) Compute the limit lim (1+ )"+1 by writing (1+ -yn+1 = (1 + )" : (1 +=) and using the result you obtained in the previous item. If you follow this instruction, you will find that there is very little to do.
Transcribed Image Text:Problem 3. Recall that a = ebIna, for all a > 0 and all b. (1) Compute the limit 1 lim (1+ -)" n00 by carefully performing one step of computation at a time. Try not to skip steps and make sure you understand how each step is justified. (2) Compute the limit lim (1+ )"+1 by writing (1+ -yn+1 = (1 + )" : (1 +=) and using the result you obtained in the previous item. If you follow this instruction, you will find that there is very little to do.
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