MATH-1200 Lecture Notes - Lecture 15: Indeterminate Form

• School: Vanderbilt University
• Department: Mathematics
• Course: MATH-1200
• Professor: Pamela Pigg

Document Summary

Math 1200 - lecture 15 - limits section 2. 2. To evaluate limits : lim x a f (x) = l. Cases that doesn"t get you a number or the indeterminate form 0/0: if you get a real number over 0 for the function, then normally the limit is or . At this moment, we know that the limit will be infinity infinity. Therefore, now we need to determine if it is positive or negative infinity. lim x 2 ( x 2)( x 1) ( x 3)( x + 2) Since x is approaching to -2 from the left side, we will use this to determine the nature of those values within four brackets. (x-2): negative; (x-1): negative; (x-3): negative; (x+2): negative. The highest degree variable in the denominator is . x. As x is approaching to infinity, 5/x, 3/x2, 3/x2, and 8/x all approach to 0. As a result: squeeze theorem lim x .