# Calc1.2

### From Conservapedia

# Limits

This lecture will introduce a new concept, the **limit**. A limit, essentially, is what a function "should be" for a certain input. Let's look at an example. Consider the function

If we factor the quadratic in the numerator, we see that and hence for almost all values of *x*, the function is simply .

But at the crucial point , the denominator and so requires division by zero and hence is undefined. However, since the function satisfies for , it isn't hard to guess by the above informal description of a limit that the *limit* of *f* at x=1/2 is . We write:

.