As we know, the expression:

*x * (*x* tends to infinity)

it means that* x *assumes values greater than any real number and *x* (*x* tends to less infinity) likewise indicates that *x* assumes values smaller than any real number.

**Example:**

The) , that is, as *x* increase, *y* tends to zero and the limit is zero.

B) , that is, as *x *decreases, *y *tends to zero and the limit is zero.

ç) , ie when *x* approaches zero by the right of zero or by values greater than zero, * y* tends to infinity and the limit is infinity.

d) , ie when *x* tends to zero on the left or by values less than zero, *y* tends to less infinity

## Limit of a polynomial function to

Let the polynomial function . So:

Demonstration:

** **

But:

Soon:

Similarly, for we have:

Examples:

Next: Trigonometric Limits