find the limit of the seq:
ln ( 2 x ^ 2 + 1) - ln ( x ^ 2 + 1)
lim ln [( 2 x ^2 +1)/(x ^ 2 + 1)]
= ln(3/2) and if we say product of logs then the solution to the limit is:
Problem is that when I drop the initial problem into my calculator I get an answer of log(2).
which is right?
Orendacl seems to have a calculator meant for professional use.
For those who are so far behind as to use a base 10 logarithm, write it as .
And BTW note the usage of the (). We are using function notation.
Thanks for the reply plato. Your analysis is indeed correct. I have several different math tools or techniques to solve and or check a problem and though not a profi myself, use the tools each one when a problem persists, and as an aid to see which is most reliable.
Much appreciated to you all!
You say that “The use of () adds further confusion” which means that you are contributing to the ignorance of function notation. Why would anyone do that?
If you indeed want to want to help younger students then you owe it to them to be up to date on current practices such as a calculator giving the answer .