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Saturday, June 28, 2014

Indeterminate Form - Combined, 3

Category: Differential Calculus, Algebra

"Published in Vacaville, California, USA"



To get the value of a given function, let's substitute the value of x to the above equation, we have  

Since the answer is (∞ - ∞)/∞ , then it is an Indeterminate Form which is not accepted as a final answer in Mathematics. We cannot use the L'Hopital's Rule because the Indeterminate form is (∞ - ∞)/∞. L'Hopital's Rule is applicable if the Indeterminate Form is either 0/0 or ∞/∞. We have to do something first in the given equation so that the Indeterminate Form becomes 0/0 or ∞/∞.

Since the third degree polynomials in the numerator and denominator have no factors or cannot be factored, then we have to divide both sides of the fraction by the highest degree variable which is x3 as follows

Substitute the value of x to the above equation, we have