One of the earliest approximations to π is
. Verify that
. Why can you conclude that
?
Problem 81AE
One of the earliest approximations to π is . Verify that . Why can you conclude that ?
Answer;
Step 1;
Now , we have to verify ; 0 < dx =
-
Consider …………(1)
, by using binomial distribution
can be written as ;
=
=
= .
=
=
= ) -
………(2)
=
) -
)dx
= ) -
dx
=) -
dx
= - 4
+5
- 4
+4x - 4
=
- 4
+5
- 4
+4x - 4