CalcNotes0203-page17

CalcNotes0203-page17 - (Section 2.3: Limits and Infinity I)...

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(Section 2.3: Limits and Infinity I) 2.3.17 Warning 3 : This technique is intended for use in evaluating “long-run” limits as x ±² or x ±²³ , not as x approaches a constant. (Note: Another variable besides x could be involved.) Solution 1 (A Rigorous Solution) lim x fx () = lim x 4 x 3 + x ³ 1 5 x 3 ³ 2 x Indeterminate Limit Form ² ² ´ µ · ¸ ¹ = lim x 4 x 3 x 3 + x x 3 ³ 1 x 3 5 x 3 x 3 ³ 2 x x 3 = lim x 4 + 1 x 2 ± 0 ± ³ 1 x 3 ± 0 ± 5 ³ 2 x 2 ± 0 ² (Warning 4 : If you use "
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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.

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