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)=x²-x√√x(x - 1) 10⁰ lim = X→∞0 X f(x) 10¹ 10² 10³ 104 105 106

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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.)
lim
X → ∞0
f(x) = x² − x√√√x(x − 1)
-
10⁰
X
f(x)
101
10²
103
104
105
106
Transcribed Image Text: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.) lim X → ∞0 f(x) = x² − x√√√x(x − 1) - 10⁰ X f(x) 101 10² 103 104 105 106
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