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Friday, December 7, 2012

Indeterminate Form - Infinity Over Infinity

Category: Differential Calculus

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

Since ∞/∞ is also an indeterminate form like 0/0 and is not accepted also in Mathematics, then we have to apply the L'Hopital's Rule to the given equation. Take the derivative of the numerator and the denominator as well

Finally, substitute the value of x to the above equation

Note: Zero divided by any number and infinity (except zero) is always equal to zero.