I have a limits question. I have to take a limit of a function L as it approaches infinity. (I need it to converge) the function: is ln[((z-L) + a*sqrt( 1 + (z-L)^2/a^2 ))/((z+L) + a*sqrt( 1 + (z+L)^2/a^2 ))] a is a constant, also a hint that was given is that by adding a specific constant it allows the limit to converge.
I have a limits question. I have to take a limit of a function L as it approaches infinity. (I need it to converge) the function: is ln[((z-L) + a*sqrt( 1 + (z-L)^2/a^2 ))/((z+L) + a*sqrt( 1 + (z+L)^2/a^2 ))] a is a constant, also a hint that was given is that by adding a specific constant it allows the limit to converge.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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I have a limits question. I have to take a limit of a function L as it approaches infinity. (I need it to converge) the function: is ln[((z-L) + a*sqrt( 1 + (z-L)^2/a^2 ))/((z+L) + a*sqrt( 1 + (z+L)^2/a^2 ))] a is a constant, also a hint that was given is that by adding a specific constant it allows the limit to converge.
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