MATH 1553 Lecture 2: 22 pt 2
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The grid range for y is from 2 to 2. From the table, the result is the same. The analytical approach will be introduced in calculus ii. From the above examples, if the function is continuous everywhere, then direct substitution works. If it is not, we have to look at the behavior of the function in the neighborhood of x at c . In other words, let x approach c from the left, and estimate the value of the function. If it matches the value estimated as x approaches c from the right, then we can say the limit of the function equals the value as x approaches c . investigate the one-sided limits. In the following discussion, we are going to define and lim ( ) f x c x. We say the limit of f x approaches l as x approaches c from lim ( ) f x c x.
