09-01_task

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University of Alabama *

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CALCULUS

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Statistics

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Jan 9, 2024

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Uploaded by ProfessorWren5558

9.01 Limits 1. Complete the table and use the result to estimate the limit (if possible). 1/4 2. Complete the table and use the result to estimate the limit (if possible). 3ln(2) 3. Complete the table and use the result to estimate the limit (if possible). x f(x) .9 -0.2564 .99 -0.2506 .999 -0.25 1 ? 1.001 -0.2499 1.01 -0.2494 1.1 -0.2439 x f(x) 4.9 2.0668 4.99 2.0781 4.999 2.0793 5 ? 5.001 2.0795 5.01 2.0906 5.1 2.0918 x f(x) 2.9 -50 2.99 -500 2.999 -5000 3 ? 3.001 5000 3.01 500 3.1 50

4. Complete the table and use the result to estimate the limit (if possible). 1/6 5. Complete the table and use the result to estimate the limit (if possible). does not exist x f(x) 3.9 -1.7859 3.99 -1.7535 3.999 -1.7504 4 ? 4.001 -1.7496 4.01 -1.7465 4.1 -1.7151 x f(x) − 1 2 π 0.9999 − 1 3 π 0.9999 − 1 4 π 0.9999 0 ? 1 4 π 0.9999 1 3 π 0.9999 1 2 π 0.9999

Use the graph to find the limit if it exists. 6. -2 7. 2 8. 13 Use the graph to find the limit if it exists. 9. 0 10. -4

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