anonymous
  • anonymous
solve f(x)+14/x-4; x=4 Staet whether the function is continuous at the indicated point. If not why?
Mathematics
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chestercat
  • chestercat
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anonymous
  • anonymous
solve f(x)=14/x-4; x=4 Staet whether the function is continuous at the indicated point. If not why?
anonymous
  • anonymous
olve f(x)=14/x-4; x=4 State whether the function is continuous at the indicated point. If not why?
anonymous
  • anonymous
if x=4, then $$ \frac{14}{x-4)}=14/0 $ so is not continuous. $$\text {Solve } f(x)=\frac{14}{x-4} $$ not sure what you mean, as f(x) is a function, hope this helps.

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anonymous
  • anonymous
$$ f(x)=\frac{14}{x-4}: x=4 =\frac{14}{0}$$ so is not continuous - hope thant's clearer
anonymous
  • anonymous
Thanks. I'm assuming it is not contiunous; f(4) does not exist and lim of x as it goes to 4 f(x) does not exist as well.
anonymous
  • anonymous
A function f(x) is continuous at a c if the following 3 conditions are met 1) f(c) is defined 2) lim_(x->c) f(x) Exists 3) lim_(x->c) f(x) = f(c) Although we only had to look at the first rule, since f(x) is not defined at c = 4, it is not continuous at that point. Thats just part of the definition of Continuity at a Point.

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