For each limit, use graphs and algebra to approximate the largest δ or smallest- magnitude N that corresponds to the given value of ε or M, according to the appropriate formal limit definition. lim ln x = infinity as x approaches negative infinity, M = 100, find the smallest N>0 lim 3^x =0 as x approaches negative infinity, epsilon=1/2, find the smallest-magnitude N<0
For each limit, use graphs and algebra to approximate the largest δ or smallest- magnitude N that corresponds to the given value of ε or M, according to the appropriate formal limit definition. lim ln x = infinity as x approaches negative infinity, M = 100, find the smallest N>0 lim 3^x =0 as x approaches negative infinity, epsilon=1/2, find the smallest-magnitude N<0
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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For each limit, use graphs and algebra to approximate the largest δ or smallest- magnitude N that corresponds to the given value of ε or M, according to the appropriate formal limit definition.
lim ln x = infinity as x approaches negative infinity, M = 100, find the smallest N>0
lim 3^x =0 as x approaches negative infinity, epsilon=1/2, find the smallest-magnitude N<0
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