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Unformatted text preview: x 2 so that the middle part becomes the expression we want to take the limit of. If x , then x 2 > , and so we have an appropriate step where none of the inequality symbols have to be reversed. x 2 x 2 cos 1 x x 2 , if x As x , the left and right parts approach 0. Therefore, by the Squeeze (Sandwich) Theorem, the middle part is forced to approach 0, as well. The middle part is squeezed or sandwiched between the left and right parts, and it must approach the same limit that the other two are approaching....
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- Fall '10