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dkotschessaa
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Homework Statement
True/False
If f is continuous at 5 and f(5) = 2 and f(4) = 3, then lim x-> 2 f(4x^2 - 11) = 2
Homework Equations
lim x-> 2 f(4x^2 - 11) = 2
The Attempt at a Solution
This turns out to be true, despite the fact that the limit evaluated without respect to the above information is 5. (4(2^2) - 11) = 4*4 - 11 =5
Clearly the above information changes something about the limit, or perhaps transforms the graph, but I'm not sure how.
Thanks!
-Dave KA