#a).
print("a).")
import math
positive_list1 = [.1, .01, .001, .0001]
limit_1 = [math.sin(math.pi / n) for n in positive_list1]
print("Positive Limit:", limit_1)
negative_list1 = [-.1, -.01, -.001, -.0001]
limit_2 = [math.sin(math.pi / n) for n in negative_list1]
print("Negative Limit:", limit_2)
#b).
print("b).")
positive_list2 = [.15, .015, .0015, .00015]
limit_3 = [math.sin(math.pi / n) for n in positive_list2]
print("Positive Limit:", limit_3)
negative_list2 = [-.15, -.015, -.0015, -.00015]
limit_4 = [math.sin(math.pi / n) for n in negative_list2]
print("Negative Limit:", limit_4)