"david" <email@example.com> wrote in message news:firstname.lastname@example.org... > Consider the following expression for the given conditions. > > R = [(sinwD)^2/w + (coswD)^2/w] (1) > > w is an integer 5 < w < 41 and R is real > 0 and 0 < D < pi/2 > > Assertion: 0 < R < 1 > > Any comment about the correctness of the assertion will be appreciated. > A numerical example will be very helpful. > > What happens when w is very very large compared to 41?
The above is equivalent to R = 1/w, unless I'm misreading something. So the assertion is correct - in fact 1/41 < R < 1/5.
If w becomes very large, then R = 1/w becomes very small.