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81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for fixed x > 0) Note that the integral on the left is equal to n+1

81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for fixed x > 0) Note that the integral on the left is equal to n+1

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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81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for fixed x > 0) Note that the integral on the left is equal to n+1
Transcribed Image Text:81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for fixed x > 0) Note that the integral on the left is equal to n+1
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