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 ² x 2 cos 1 x ³ ´ µ ¶ · ¸ ² 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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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.
 Fall '10
 sturst

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