## Some elementary properties of limits

**Some elementary properties of limits.**

1) Suppose for functions f and g, and exist. Then, we have

(a)

(b)

(c) , provided

(2) Suppose f is continuous at a, then is simply .

(3) Suppose f is defined in a deleted neighbourhood of , g is defined in a neighbourhood of and is continuous. If for x in the deleted neighbourhood of , then .

From the above, it is easy to see that

(a) fpr a polynomial p.

(b)

(c) , for polynomials p, q if .

More later,

Nalin Pithwa

### Like this:

Like Loading...

*Related*