Limit Laws Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Using limit laws, find the limit:

(2) Using limit laws, find the limit:

(3) Using limit laws, find the limit:

(4) Using limit laws, find the limit:

(5) Using limit laws, find the limit:

(6) Using limit laws, find the limit:

(7) Using limit laws, find the limit:

(8) Using limit laws, find the limit:

(9) Using limit laws, find the limit:

(10) Using limit laws, find the limit:

(11) Using limit laws, find the limit:

(12) Suppose and Using limit laws find the limits and

(13) Suppose that and Using limit laws find the limits, and

(14) Using limit laws evaluate the limit, where and

(15) Using limit laws evaluate the limit, where and

(16) If find and

(17) If find Also if find

(18) Determine so that

(19) Determine so that

(20) Determine so that

(21) Evaluate and Conjecture a formula for and explain.  

(22) Give an example for which neither nor exists, but does exist.

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