5. (15 pts) Determine the limits: lim sin(x) In(x) x-0* lim sin(x) x-0* lim x-+0 X sin(x) 6. (10 pts) You've been asked to determine where a water works should be built along a river between Chesterville and Denton (see below) to minimize the total cost of the pipe to the towns. Distance units are miles. The cost of the pipe to Chesterville is $3000 per mile and the cost to Denton is $7000 per mile. DO pipe pipe 5 3 X river 10