Sums and Floor Function (Sheet L)

Prepared by:

Joseph Malkevitch
Department of Mathematics and Computer Studies
York College (CUNY)
Jamaica, New York

email:
malkevitch@york.cuny.edu

web page:
http://york.cuny.edu/~malk/

1. Evaluate the following sums:

a.

b. (a is a constant)

c.

d.

(Evaluate d using the "formulas" for summing integers and squares of integers. Hint: Look at sheet with induction problems.)

2. Given: Let g(x) = and f(x) = compute:

a. f(-3.2) b. g(-3.2) c. f(3.4) d. g(3.5) e. f(3/4) f. g(f-2.1) =

3. Graph g(x) and fx).