1. The problem statement, all variables and given/known data 2. Relevant equations Squeeze theorem: set up inequalities putting the function of interest between two integers. L'Hopital's rule: when plugging in the number into the limit results in a specified indeterminate form such as 0/0 or infinity/infinity then take the derivative of the numerator and the derivative of the denominator and again plug-in to solve the limit. The limit of 1-cosx/x as x --> 0 is 1. 3. The attempt at a solution I used L'Hopital's rule and applied two iterations of get cos(x)/(4cosx+4cosx-4xsinx) Plugging in 0 results in 1 / (4+4-0) = 1/8 However, we never learned L'Hopital's rule in class and the only thing we learned was the squeeze theorem. I attempted to use the squeeze theorem (without success): 0≤1-cosx≤2 I'm not sure where to proceed beyond the above step in using the squeeze theorem. 0/x≤(1-cosx)/x≤2/x x--> 0 so infinity≤(1-cosx)/x≤infinity Is the squeeze theorem the correct method to solve this problem? Or am I overlooking some common identity or method other than L'Hopital's rule to solve this problem?