Proof of limits

I saw some old announcement from IVLE today, just before my math mid term test tomorrow.

Oh me gawd. Stressed.

"Some students from India in my tutorial groups C06 and C10 had brought to my attention a formula they learnt from their teachers in India which can be used to calculate limits like those in Tutorial 2, No. 2(h) in a rather efficient way. They asked me for a proof of the formula. I have now written down a proof of this formula and have put a copy in the General Information folder. My proof is quite theoretical and uses a Taylor series for the ln function as well as some technical arguments involving the operation of limits. So do not worry if you find the proof difficult. However, you can still use the formula even if you cannot follow the proof very well. I tried it on a few examples and found that it is quite useful. Of course if you do not want to use this formula you can still calculate the limits using the method in Tutorial 2.I would like to record my thanks here to my students who brought this formula to my attention. I was not aware of this formula before and I learnt something new from my students."

Not exactly a great morale booster considering i've juuuuust passed my programming mid term and probably (very likely) flunked my physics mid term. 2 midterms down (literally) 2 more to go.