Test Bank Single Variable Calculus Early Transcendentals 8th Edition by Stewart|Complete|All Chapters|2022|

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

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.

,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 fiv
Use the results to guess at the indicated limit, if it exists, to three decimal place




x 3.9 3.99 3.999 4.001 4.01



13. Use the precise definition of a limit to prove that



14. Find the limit .

,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
an d vertical asymptotes of t

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 du
a weekda
weekday y( correspond
correspondss to 6 a.m.).
a.m.). By comput
computing
ing the slope of the
the respec
respective
tive tan
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 1 0 12
12 14
14 16
16 18
18 20
20 t (h r)




19. Find the derivative of the function and evaluate at the given value of x.

, Stewart - Calculus 8e ET Chapter 2 Form A




20. Let .
a. Sketch the graph of f.
b. For what values of x is f differentiable?
c. Find a formula for .