Stewart
Stewart - Calculus 8e ET Chapter 2 Form A
1. Find the limit.
2. Evaluate the limit.
3. Find the limit.
4. How close to do we have to take x so that
5. How close to 2 do we have to take x so that is within a distance of 0.01 from 13?
6. If f and g are continuous functions with
7. Find the limit.
8. Find the limit.
9. Find an equation of the tangent line to the curve.
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Stewart
Stewart - Calculus 8e ET Chapter 2 Form A
10. Find the limit if
11. Use the graph of the function to find each limit.
y
5
4
3
2
1
–5 –4 –3 –2 –1 1 2 3 4 5 x
–1
–2
–3
–4
–5
, ,
12. Complete the table by computing at the given values of x, accurate to five decimal places.
Use the results to guess at the indicated limit, if it exists, to three decimal places.
x 3.9 3.99 3.999 4.001 4.01 4.1
13. Use the precise definition of a limit to prove that
14. Find the limit .
15. Find the numbers, if any, where the function is discontinuous.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
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Stewart
Stewart - Calculus 8e ET Chapter 2 Form A
16. Find the interval(s) where is continuous.
17. You are given the graph of f. Find the horizontal and vertical asymptotes of the graph of f.
y
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1
–1 1 2 3 4 5 6 7 x
–2
–3
–4
–5
–6
–7
18. The graph shows the percentage of households in a certain city watching television during a 24-hr period on
a weekday ( corresponds to 6 a.m.). By computing the slope of the respective tangent line, estimate the
rate of change of the percentage of households watching television at a-12 p.m.
Note that
y (%)
0.225
3
0.15 dy
0.075
2 4 6 8 10 12 14 16 18 20 t (hr)
19. Find the derivative of the function and evaluate at the given value of x.
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