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okay in this video were going to be doing 22 multiple choice questions from AP Calculus um the problems come from the course exam description uh that is freely available on the internet I will put a link below um but lets get started with the problems problem number one were going to take the limit as X approaches zero one minus cosine squared of 2x over uh the quantity two x squared uh step one is just try to sub in but if you try to sub in uh youre going to end up with 1 minus the cosine of zero is one so you have one minus one over zero or zero over zero so this is a lhopital situation so Im going to just apply lhopitals rule so in the numerator uh kind of a lot of work right because the derivative one is zero and then we need the derivative of negative cosine squared of 2x so thats going to be negative and then bring down the 2 cosine of 2x times the derivative of cosine which is going to be negative sine of 2x and then times the derivative of 2x so times 2. we also need t