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limit help please

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Use the given graph to determine the limit, if it exists. 

A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 1. 

Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

asked Aug 8, 2014 in CALCULUS by Tdog79 Pupil
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1 Answer

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Observe the graph, the limit x approaches 2 from left of f(x) is 3 and the limit x approaches 2 from right of f(x) is -1.

The two limits are approaching to different numbers, so the limit does not exist at x = 2.

answered Aug 8, 2014 by david Expert

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