One useful rule in this content is L'Hopital's rule: if differentiable functions f and g both vanish at x=a, but the derivative g' does not, then .
I came into a few problems in which requires me to take limits of Trigonometric function. Now I have no idea how to start, but below is a couple of the problems.
1. Lim sin4x/8x
x->0
2. Lim tan6x/sin2x
x->0
I remember the rules for taking derivatives of Trigonometric functions, but I did not learn the foundation of these rules. So if anyone can help, please explain to me how to take limit of sin, cos, and tan.
Thank you very much!