Wednesday, May 7, 2014

Techniques for evaluating limits

Limits of polynomial and rational functions
1. If p is a polynomial function and c is a real number,
Lim p(x) = p(c)
2. If r is a rational function given by r(x) = p(x)/q(x), and c is a real number such that q(c) doesn't = 0 
Lim r(x) = r(c) = p(c)/q(c)

Since we cannot have a limit that doesn't have a solution, we must rearrange the function to find the limit. We can do this in two ways
1. Cancellation (factoring) 
2. Rationalizing (multiplying. By conjugate)

Example of cancellation 
15 is cancellation. 17 is rationalizing


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