Prepared: Thu Nov 25 10:42:14 CST 1999

MATH 1271

QUIZ VIII

1) Try to give a concise formula in terms of n for the sum

Multiply out the term in the summation.

Using the sum rule and constant multiple rule we get

Now we can use the summation formulas of 1, i and to obtain the final answer.

2) Evaluate the following limit

Let's first try to express the numerator as a function in terms of n.

With the substitution of the expression into the limit, we find