I want the solution for the 2 questions please , i want the full solution ( with steps ) not just final answers .... thx in advance (Nod)

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- Nov 16th 2011, 01:40 PMHossamTwo Continuity problems
I want the solution for the 2 questions please , i want the full solution ( with steps ) not just final answers .... thx in advance (Nod)

http://i39.tinypic.com/4tu1kk.jpg

http://i39.tinypic.com/35m19p1.jpg - Nov 16th 2011, 01:48 PMTKHunnyRe: Two Continuity problems
I hardly can wait to see your efforts, steps and everything, not just the final answer.

- Nov 16th 2011, 02:06 PMPlatoRe: Two Continuity problems
The way it works here is that you show us where or what you do not understand. Show some effort.

HINT: If $\displaystyle f$ is an odd function, can you show $\displaystyle f(0)=0~?$ - Nov 16th 2011, 02:10 PMHossamRe: Two Continuity problems

Do u mean u want to see if i tried to solve them ?? , i can't solve the first problem at all but i tried in the second one , tell me if my solution is correct please

http://i41.tinypic.com/bvqcg.jpg - Nov 16th 2011, 02:37 PMPlatoRe: Two Continuity problems
- Nov 16th 2011, 02:56 PMHossamRe: Two Continuity problems
- Nov 16th 2011, 03:00 PMPlatoRe: Two Continuity problems
Can you follow this?

Suppose that $\displaystyle f(0)\ne 0$ then either $\displaystyle f(0)<0\text{ or }f(0)>0$.

If $\displaystyle f(0)<0$ then $\displaystyle -f(0)>0$ but $\displaystyle f(0)=f(-0)=-f(0)>0$.

That is a contradiction.

The same is true if $\displaystyle f(0)>0$ so $\displaystyle f(0)=0$. - Nov 16th 2011, 03:00 PMHossamRe: Two Continuity problems
in the second question , it says the function is discontinuous at c=2 , now f(2) = 4B-A = ??? , is it equal to 0 or 6 ??

- Nov 16th 2011, 03:05 PMHossamRe: Two Continuity problems
- Nov 16th 2011, 03:06 PMPlatoRe: Two Continuity problems
- Nov 16th 2011, 03:10 PMHossamRe: Two Continuity problems
- Nov 16th 2011, 03:42 PMPlatoRe: Two Continuity problems
This is meant to be honest not mean.

You are simply are not ready to tackle this problem. - Nov 16th 2011, 03:52 PMHossamRe: Two Continuity problems
okay what about the other problem ? , it says fn is discon. at c=2 , in this case does f(2) = 0 , because i know it doesnt equal ( lim 3x at x=2 ) ??

- Nov 17th 2011, 05:53 AMHallsofIvyRe: Two Continuity problems
You cannot find specific values of A and B in (2) and the problem does not ask you to. Saying that the function

**is**continuous at x= 1 tells you that the two one sided limits are equal: A- B= 3. Saying that the function is**not**continuous at x= 2 tells you that the two one side limits there are**not**equal. From the left, the limit is 3(2)= 6. From the right, it is 4B- A and we can only say that $\displaystyle 4B- A\ne 6$. From, A- B= 3, we get B= A- 3 and we can put that into the inequality: A- B= A- (A- 3)[/tex] which reduces to just 3. Certainly 3 is NOT equal to 6 so the only "condition" we need for A and B is that A- B= 3. What the value of the function**is**at x= 2 depends upon what A and B individulally are. For example, if we take A= 3, then B= 0 satisfies A- B= 3. In that case, the value of f(2) is 4B- A= -3. But we could also take A= 4, B= 1. That also satifies A- B= 3. Now the value of f(2) is 4B- A= 4-4= 0. - Nov 17th 2011, 10:38 AMHossamRe: Two Continuity problems