Well I dont get this to add upp:
It is the following:
Here is my work:
and since is the reciprocal of
which is one that should be:
What am I doing wrong, it said solve and few pages back explained some reciprocal method..
clearly I am doing something very bad...asking my prof what would lead to him and me
The following fundamental inequality figures prominently below (as it does with many fundamental properties between cos and sin):
This implies that:
As x 0, the squeeze is put on the middle expression, and it evaluates to 1.
your way is also valid but it requires using the limit of the result which is first proven using the squeeze theorem (sandwich). In any case, you used some words in your argument that should be replaced with equations:
On-Edit: Random vairable's way is cool also. Btw, one can also use L'hopital here...lol...no shortage of methods.
The right answer is 1. because they use that indeterminate expression in their logic, anything that followed that point is indeterminate. therefore, they should have stopped there, and either applied L'hopital to that indeterminate expression or used other methods such as those shown above by felper (or you), Random variable, or me.