Let g(x)=2x+!. We want to show lim x-->2 g(x)=5. 1- on what interval is |g(x)-5|<1? 2- For what delta does |x-2|< delta mean |g(x)-5|<1?
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Let g(x)=2x+!. We want to show lim x-->2 g(x)=5.

1- on what interval is |g(x)-5|<1?

2- For what

delta does |x-2|< delta mean |g(x)-5|<1?

3- Sketch a picture of g(x) that describes what we get in (2)

4- On what interval is |g(x)-5|< epsilon?

5- For what delta does |x-2|< delta mean |g(x)-5|< epsilon?

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