CEG 4112 Lecture Notes - Lecture 5: Difference Quotient, Mathematical Notation
16 Dec 2015
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Lesson goal: the student will be able to determine the limit of a given function. The idea of limits will be combined later on with the difference quotient as we. Let h approach zero. stay tuned. f ( x) lim x a exists if and only if the limiting value from the left is equal. The limit to the limiting value from the right. Notice the table for y=x2 1 x2 1 . as x approaches 2. In mathematical notation, it looks as lim x 2 x. Answer: sometimes when it is a polynomial function. Example 1: use a table to determine x2 1 x 1 . lim x a: using a table, we look at values from the left of 1 x 1 and the right of 1 x 1 . This pattern of numbers suggests that we are approaching a value of 2 for this limit.
