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HW2 problem 2

HW2 problem 2

by Alvin Daniels -
Number of replies: 2
How much are we allowed to assume about the logarithm as we have not really gotten a definition of it yet. Can we assume it is continuous, monotnically increasing, ln(1)=0 and the rules of logarithms?


Kinda related, how much are we allowed to assume about a function to be continous, for example logarithm and square root, if we know it from before but have not yet been given a proof by Rudin? And with this, can we use that limits can be "moved inside" continous functions?