What is the limit as x approaches infinity of 1-cosx/x^2? use the sandwich theorem.

The possible limit as X approaches infinity of 1-cosx/x^2, to find its limit you must first analyze the question specially the equation and must consider the limit X. So based on my calculation and analyzing the answer for this question is this one.
limx→0sin(x)x=1 but limx→∞sin(x)x=0