General question about continuity (2 var.)

  • Thread starter tmlfan_17
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  • #1
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Main Question or Discussion Point

You know that fx(x0,y0) exists. What can you tell about the continuity of g(x)=f(x, y0) at x=x0?

I know the answer is that it is continuous but I just wanted somebody to confirm why.
 

Answers and Replies

  • #2
mathman
Science Advisor
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Since yo is fixed, you simply have a function of one variable (x), so apply what you know about a function of one variable and its derivative.
 

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