Infinity over Infinity

To solve this indeterminate form, different types of functions must be considered.

Polynomial Functions

Divide all the addends that have the highest exponent by x.

Polynomial Functions

Polynomial Functions

This indeterminate form can be solved another way but the following must be taken into account:

1 If the numerator and denominator have the same degree, the limit is the quotient of the coefficient of powers of the highest grade.

Indeterminate Form


2If the numerator has a higher degree than the denominator, the limit is ± ∞ (depending on the sign of the coefficient of highest degree).

Indeterminate Form


3If the denominator has the highest degree, the limit is 0.

Indeterminate Form

Indeterminate Form

Exponential Functions

For exponential functions, divide by the highest exponential base.

Exponential Function

Exponential Function