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May 25, 2013

# Homework Help: math/calculus

Posted by Claire on Thursday, July 5, 2012 at 2:06pm.

Under what conditions can you extend a function f(x) to be continuous at a point x=c?

Is this just rules for continuity or am I just really confused? If not what is this question asking?

• math/calculus - bobpursley, Thursday, July 5, 2012 at 2:08pm

Yes, rules of continuity. Has to have same limits from left and right, and has to be differentiable at that point.

• math/calculus - Count Iblis, Thursday, July 5, 2012 at 2:10pm

Yes, use the definition of continuity. So, the limit of x to c has to exist. You can then define value of the function at x = c to be equal to that limit.

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