Limits at Infinity

The function that decreases as the input becomes very large provides a clear example of how mathematical functions can behave at extreme values. When the input increases continuously, the output becomes smaller and smaller, getting closer to a particular fixed value. Although the output never actually reaches this value, it moves nearer to it wi...

Limits of a function can be evaluated as x approaches positive or negative infinity. These two limits are distinct and must be checked separately.

Consider the function x cubed. As x approaches positive infinity, the value increases without bound.

As x approaches negative infinity, the value decreases with...