The tree diagram shows the possible win/loss paths for a basketball team playing in a tournament. Harris High School loses 1 gam
e in the tournament. How many ways could this happen?
2 answers:
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Answer:
See below
Step-by-step explanation:
We start by dividing the interval [0,4] into n sub-intervals of length 4/n
Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.
Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)
but
so the upper sum equals
When both
and
tend to zero and the upper sum tends to
