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Lecture 4 : Calculating Limits using Limit Laws

Lecture 4 : Calculating Limits using Limit Laws

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the graph, y= c). 8.lim x!ax= a, (follows easily from the de nition of limit) 9.lim x!ax n= an where nis a positive integer (this follows from rules 6 and 8). 10.lim x!a n p x= n p a, where n is a positive integer and a>0 if n is even. (proof needs a little extra work and the binomial theorem) 11.lim x!a n p f(x) = n p lim x!af(x) assuming that ...

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