MATH117 Lecture Notes - Lecture 15: Squeeze Theorem

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Instead of going through the theory for this week, we will just look at a few examples instead: There are times when you can make your work a lot easier by factoring. This next example uses multiplication by 1 (or multiplication by the conjugate) in order to obtain our result: In this case, our easiest route in solving the problem can be peformed by mul- tiplying by 1 trick (and in this case, multiplying by the conjugate): t . 3t + 4 t (t + 4 t (t + t2 (3t + 4) (4 t)(t + The next example focuses on using the squeeze theorem: This does seem a little complicated at rst, but this can be solved using some pretty simple methods. Rst o note that 1 sin(x) 1. 2x3 = 0 = lim x 0 lim x 0.

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