Question

Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then use a graphing utility to graph the function and estimate the limit. Finally, find the limit analytically and compare your results with the estimates. (Round your answers to one decimal place.) 

\(f(x)=x^{2}-x \sqrt{x(x-1)}\)

x	10^(0)	10^(1)	10^(2)	10^(3)	10^(4)	10^(5)	10^(6)
r(x)

Answer 1

We put the value of x for given conditions

As table show below attachment.

Now we draw the graph but all points not possible to draw a single graph because se the value first value is very very very low compare to last value so we put only 3 point in the graph.

Graph is below attachment.

Now we calculate the limit examples

Show more notes to below attachment

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