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Limits and Continuity - 3 Theorems watch

1. 2. Given the three theorems on limits defined below:
http://www.opensourcemath.org/books/...ms_on_lim.html (they're all on this link)
Pick two suitable functions f(x) and g(x), and show that these functions satisfy the three theorems.

The three theorems won't show on this, but those of you who could help would already know the 3 theorems anyway,

i just need hints :L , how do i even start to come up with functions to satisfy the 3 theorems ?
2. (Original post by Jukukiwaiyi)
The three theorems won't show on this, but those of you who could help would already know the 3 theorems anyway.
I may be able to help but since I'm not psychic, I don't know what the theorems are without you telling me. Could you at least explain what each of the theorems say without formally stating them?

My guess woould be that the theorems are part of 'the algebra of limits'. Am I right?
3. (Original post by notnek)
I may be able to help but since I'm not psychic, I don't know what the theorems are without you telling me. Could you at least explain what each of the theorems say without formally stating them.

My guess woould be that the theorems are part of 'the algebra of limits'. Am I right?
im pretty sure thats it yeah, "three theorems on limits"
http://www.opensourcemath.org/books/...ms_on_lim.html

4. (Original post by Jukukiwaiyi)
im pretty sure thats it yeah, "three theorems on limits"
http://www.opensourcemath.org/books/...ms_on_lim.html

Almost any functions will work! You just need that "the limit of each variable exists and is finite" and (to satisfy the quotient theorem) that "the limit of the denominator is not zero".
5. (Original post by Jukukiwaiyi)
im pretty sure thats it yeah, "three theorems on limits"
http://www.opensourcemath.org/books/...ms_on_lim.html

Just think of simple/obvious functions. Ones you would know before A-level. I'm not sure what else to say without giving you the functions.
Just think of simple/obvious functions. Ones you would know before A-level. I'm not sure what else to say without giving you the functions.
hehe , erm i wouldn't mind you giving me the functions XD

and i didn't do limits and continiuity before A levels :/

i only started this kind of stuff first year of uni

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