Complete the steps below to show that the limit exists by rationalizing with conjugates. √x-10 100 x 100 lim -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
Problem 10E: Find the limit if it exists of Anx1 as n approaches infinity, where A=[02120], and x1=[aa]
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0
The following limit results in
when you first try to plug in the limit value.
0
Complete the steps below to show that the limit exists by rationalizing with conjugates.
- 10
100 x 100
lim
STEP 1: What is the conjugate of the numerator?
STEP 2: Multiply the numerator by the conjugate and simplify:
STEP 3: Multiply the denominator by the conjugate and simplify:
STEP 4: Simplify the function by cancelling any common factors between the numerator and
denominator:
lim
x-100
STEP 5: Now evaluate the limit and answer as an integer or a reduced fraction.
√10
lim
100 x 100
Submit
=
Transcribed Image Text:0 The following limit results in when you first try to plug in the limit value. 0 Complete the steps below to show that the limit exists by rationalizing with conjugates. - 10 100 x 100 lim STEP 1: What is the conjugate of the numerator? STEP 2: Multiply the numerator by the conjugate and simplify: STEP 3: Multiply the denominator by the conjugate and simplify: STEP 4: Simplify the function by cancelling any common factors between the numerator and denominator: lim x-100 STEP 5: Now evaluate the limit and answer as an integer or a reduced fraction. √10 lim 100 x 100 Submit =
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