My Math Forum Below are the graphs of functions f and g...

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October 3rd, 2012, 07:20 AM   #1
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Below are the graphs of functions f and g...

I don't understand how the limit is 3? Wouldn't it not exist since they aren't connecting? Why is it Does not Exist? Thanks a bunch for preparing for my test!
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 October 3rd, 2012, 08:43 AM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Below are the graphs of functions f and g... Notice that the limit, as x approaches 4, of f(x) does not exist. Same goes for g(x). Drawing a picture of f(x) + g(x) could be quite tedious, but the important point is only (near) x = 4. The limit as x->4 from THE LEFT of f is 5. The limit as x->4 from THE LEFT of g is -2. So the limit as x->4 from THE LEFT of f + g is 5 + (-2) = 3. Repeat for right hand limits and you'll see the result.

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