Signed area graph problem

[Mark Hardman]

(11-27-2016 06:09 PM)lrdheat Wrote:  From an intuitive point of view, how can this function be approaching a specific limit f(X), X=0 of 1/4 if the function is not approaching that specific limit? (I.e., function becomes increasingly erratic as we get arbitrarily close to X?)

This is the motivation of my question, and my guess as to why the function appears to behave erratically when X approaches zero.

In the range we are interested in, the solution to √(TAN(X)+1) = √(SIN(X)+1) is X=0. Both functions are well behaved in that interval. I concede that there is no reason for the original function to behave erratically other than a lack of precision as X approaches 0.

Sorry to have taken you down the wrong trail.

Mark Hardman