In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate form. If so, use the rule to find the limit. Show all steps for each problem. Find two numbers whose difference is 50 and whose product is minimized.

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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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In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate form. If so, use the rule to find the limit. Show all steps for each problem.

Find two numbers whose difference is 50 and whose product is minimized.

Expert Solution
Step 1

Let the two numbers are x and y

So, y-x=50

And, y=x+50

 

We have to minimize z=xy

z=x(x+50)

z=x2+50x

 

 

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