x°- a Calculate the limit lim using the following factorization formula where n is a positive integer and a is a real number. X- a Xa x" - a" = (x- a) (xn - 1 + x^ - 2 a+ x^ - 3a? + ... + + xa^ -2 + a^ - 1)

x°- a Calculate the limit lim using the following factorization formula where n is a positive integer and a is a real number. X- a Xa x" - a" = (x- a) (xn - 1 + x^ - 2 a+ x^ - 3a? + ... + + xa^ -2 + a^ - 1)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 18E

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Question

I'm having issues with this limit problem.
There are two variables set up, and it asks to process the problem through a 2-variable formula. However, I have trouble understanding exactly what I'm supposed to do to get the solution. How would I go about solving this?

x°- a
Calculate the limit lim
using the following factorization formula where n is a positive integer and a is a real number.
X- a
Xa
x" - a" = (x- a) (xn - 1 + x^ - 2 a+ x^ - 3a? + ... +
+ xa^ -2 + a^ - 1)

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