Unformatted text preview: /x ) (Hint: Use the Squeeze Theorem.) 2. Find real constants a and b such that lim x → √ ax + b-2 x = 1 . (Hint: Since the denominator approaches , the limit must be of type .) 3. Using the ε , δ deﬁnition, prove the following statements. (a) lim x → 2 (5-2 x ) = 1 (b) lim x → 3 ± x 4 + 1 ² = 7 4 (c) lim x → x n = 0 for any positive integer n (Hint: | x n | = | x | n ) Complete MAPLE Lab #1, and attach your printed output, along with your an-swers to any accompanying questions, to the end of this assignment. 1...
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- Spring '10
- Limit, English-language films, Maple Lab, lim x4 esin