1: lim(x-->0) sin(sinx)/sinx...i have solved using l'hopitals rule to get 1
2: lim(x-->infinity) ln(x)/(x^2) i have got a value of 0
3: The size of an animalís pupils expand and contract depending on the amount of light available. Let f(x) = (160x^(-0.4)+90)/(8x^(-0.4)+10)
be the size in mm of the pupils at light intensity x. Find lim(x-->0+) and lim(x-->inf) for f(x), and argue that these represent the largest and smallest possible sizes of the pupils
Can someone please check my answers for 1 and 2 and give me some help for question 3?
P.S sorry about the bad notation for the equation and limits