Name _________________________

B. Johnson Per. _______ Date ______________

Calculus Team Retake Quiz #2 Chapter 2B – Limits and Continuity

1. Evaluate the following limits, if it exists.

a) b) c)

d) e) f)

g) h) i)

j) k) l)

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2. Answer questions 2a-j based on the graph of shown below.

2h. At what x values is not continuous ____________________

2i. At which values of x are the discontinuities removable? ________

2j. Give an example of how to remove one of the removable discontinuities in #2i. above ___________________

3. Find the values of a and b that make the function continuous at every number and sketch its graph.

2a. ______

2b. ______

2c. ______

2d. ______

2e. ______

2f. ______

2g. ______

3. _________________

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4. Graph a possible function given the following information.

5 Given find the following.

a) Domain of b) Equation(s) of horizontal asymptote(s).c) Equation(s) of vertical asymptote(s).d) x-intercept(s).e) y-intercept.f) Removable discontinuities.g) How would you remove the discontinuities of f).

_________________

h) Graph .

5a. _________________

5b. _________________

5c. _________________

5d. _________________

5e. _________________

5f. _________________

g. _________________

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