Proving that sinx does not reach a limit as x approaches infinity
We have a limit of the function as x approaches infinity from the function f(x)=sinx. We intuitively feel...
Homogeneous systems of linear equations (number of solutions using matrix rank)
Homogeneous systems of linear equations are systems in which all intercepts are equal to 0. I will show...
Useful limit of a function with cosine
We usually treat the limits of a sine function as: x tends to zero then{sinx} /x=1. Question: what...
Horizontal and oblique asymptotes of functions
The relationship between horizontal and oblique asymptotes is as follows: horizontal asymptotes are special oblique asymptotes. Therefore, every...




