CalcNotes0205-page2

CalcNotes0205-page2 - (Section 2.5: The Indeterminate Forms...

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(Section 2.5: The Indeterminate Forms 0/0 and ± / ± ) 2.5.2 More generally, lim x ± 0 cx x = c for any real constant c . lim x ± 0 x x 2 Limit Form 0 0 ² ³ ´ µ · = lim x ± 0 1 x , which does not exist (DNE). Note : The “=” sign is then technically inappropriate here, but we often leave it in, anyway. Why is ± ± an Indeterminate Form? Some examples demonstrate this: If c is a nonzero real constant, then: lim x ±² cx x Limit Form ± ² ² or just ² ² ³ ´ µ · ¸ = lim x ±² c = c lim x ±²
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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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