My hardest and last problem about I.I. :
0 has a discontinuity here so:
to make it short, i used trigo substitution:
and im having trouble with this part
i am having trouble because its indeterminate:
but i do not know how LHR works with ln
and thank you so much for the help on the other one
Rule #1: The limiting value is NOT included in the limiting process. It might not even be in the Domain! Substitution is inappropriate. Don't do it.
Rule #2: If you later find the function to be continuous at the limiting value, ignore Rule #1 and go ahead with the substitution.