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.

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.

2

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

3

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

Exponential Functions

For exponential functions, divide by the highest exponential base.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.