Monday, December 12, 2011

How do you find the limit as x approaches negative infinity just by looking at a graph?

I know how to find the limit as approaches infinity of negative infinity if I have the equation just fine, but I don't understand how you find it with just the graph. Anyone know how to explain this?|||Look at a graph like





f(x) = 1/(x-1)





You know as the lim x-%26gt;infinity f(x) = 0





When looking at the graph remember that x (emphasis on x) is approaching infinity, that is, going to the right-hand-side forever.





If you look at the graph and look at the function you can see that it is getting closer and closer to 0, that is f(x) or y is approaching 0, as x is approaching bigger and bigger values, then infinity.

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