Estimations using right endpoint rectangles

Select Riemann... on the Calculus Menu. Then select "Right endpoints with graph"( found in the middle column ), enter f as the expression, x as the variable, from 0 to 2 with 4 rectangles.

> gRsum(f,x=0..2,4);

How does this value compare with the corresponding result obtained earlier with 4 left endpoint rectangles. Now repeat this with 8 right endpoint rectangles.

> gRsum(f,x=0..2,8);

Now execute the following loop to see what happens as the number of right endpoint rectangles increases.

> for i from 1 to 10 do
k:=2^(i-1):
evalf(Rsum(f,x=0..2,k)):
od;

What do you think these will approach?