Consider the function at) = 2m 3"" . What is the domain of this function? This function has exactly one critical point. Find it. Express your answer exactly (no approximations) and using only the natural logarithm function k1, and not in other bases. Is this critical point you found a local maximum or local minimum? Note. Though possible, it may be hard to do it without a calculator. So for this part you may use calculators to give numerical estimations to help you determine whether this critical point is a local maximum or local minimum. What is the limit Jimz_,_oo f(:L-) ? (Note. One could also ask what is nnamofh , but to do that one often use L'Hospital's rule, which we will discuss next week.)