- #1
lLovePhysics
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Do you always need to watch out for "limitations?" How do you memorize them?
I have a question about "limitations" given within any theorem. For example: Rolle's Theorem states:
So the limitations would be: "Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b)..."
Do you always have to keep this limitations in mind when using theorems? How do you recommend remembering them?
For your own experience, do exams tend to trick students by putting questions that invalidate the limitations? I think that my teacher has given me a couple.
Thanks.
I have a question about "limitations" given within any theorem. For example: Rolle's Theorem states:
TextBook said:Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b), then there is at least one number c in (a,b) such that f'(c)=0
So the limitations would be: "Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b)..."
Do you always have to keep this limitations in mind when using theorems? How do you recommend remembering them?
For your own experience, do exams tend to trick students by putting questions that invalidate the limitations? I think that my teacher has given me a couple.
Thanks.