Two Continuity problems , help

[hossam]

i know the rules of the forum well but da problem that i dont know how to start solving the first problem , i dont understand what to do ! , hope somebody helps .. thx in advance




the second problem says that the function is discontinuous at c=2 , now F(2) = 4B-A = ??? , is it equal to lim (3x) at x=2 or whaaat ???




when i solved problem 2 i put F(2) = 4B-A = 0 ..... is this right ???

 

[tkhunny]

I'm still waiting for the defintion of 'c'.

Have you considered a careful reading of the problem statement? Why would you want equality at x = 2? Is wants DIScontinuous.

 

[renegade05]

Well the first thing to do is understand what continuity means.

What are the conditions that makes a function continuous ?

Second, I am actually a little confused to why your text uses c=1 and c=2, should this not be x=1 and x=2. Hmm...

Anyway, since you have a piece-wise function and it is split at x=1 and x=2, you, yes, will need to take a limit (as trivial as it may be).

Basically for continuity, you will want the function values to be the same at x=1 and not the same at x=2. What conditions on A and B will make this true?

Hope this helps.

 

[tkhunny]

You could also respond to these questions:

http://www.mathhelpforum.com/math-help/f6/two-continuity-problems-192061.html