Monday, November 27, 2006

Finding Limits of Complex Fractions

Are you in Calculus? Whether you're struggling or doing fine, I'd like to help you as an act of kindness. The following is the MASTER BLASTER method, which can be used to find the limit of f(x) as x approaches n and f(x) is a complex fraction:

1. Let every term have a denominator and change - (minus) to +- (plus a negative).
2. Find the LCD (Lowest Common Denominator).
3. Multiply all the numerators by the LCD.
4. Don't multiply out (FOIL: first, outer, inner, last) the numerator.
5. Distribute the x for the terms in the denominator.
6. FOIL the separate denominator terms.
7. Combine like terms.
8. Factor the denominator and cancel. Multiply the numerator by the quotient of the cancelation. For example (a-b)/(b-a) = -1.
9. Now substitute in n.
10. Finally, simplify.

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