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September 22nd, 2012, 11:37 AM   #1
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Is this Trick Question??

Let f(x) = { x^2 +2, x<2
4-Cx, x>=2

Assuming that f is continuous at x = 2, what MUST be the value of C ?

Is the answer here 1 ?

or 1 or 0 ?

how to write properly ?
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September 22nd, 2012, 11:42 AM   #2
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Re: Is this Trick Question??

No, that is NOT a trick question- it is, in fact, a fairly basic question about the definition of "continuous".

What is ? What is ?

What does the fact that f is continuous at 2 tell you about those limits?
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