Squeeze Theorem

[frog1944]

Hi,

In many HSC's you apply the squeeze theorem for some inequality to obtain some result. Though when I find that say, a constant b, b < f(x) < b OR b <= f(x) <= b as I take the limit as something approaches infinity, to I have to say that by the squeeze theorem f(x) = b (as the limit to what not is taken)? Or do I just jump straight to the step that f(x) = b? Would it hinder my marks if I said by the squeeze theorem?

Thanks

[VanillaRice]

After you have set up your inequality and evaluated the limits at either end, it is common practise (and acceptable) to write "by the squeeze theorem..." in mathematics. It allows the reader to see your justification as to how you went from one line to the next.
I'm not sure what they want in HSC, but I'd imagine it'd be similar.

Hope this helps

[frog1944]

Yes it does. Thanks

[RuiAce]

After you have set up your inequality and evaluated the limits at either end, it is common practise (and acceptable) to write "by the squeeze theorem..." in mathematics. It allows the reader to see your justification as to how you went from one line to the next.
I'm not sure what they want in HSC, but I'd imagine it'd be similar.

Hope this helps

They really don't care as far as the HSC goes.

Reason being that the actual name "squeeze theorem" is not in the HSC course, even though it has been put to use a lot.