Suppose a study shows that drinking orange juice reduces your risk of cancer. as a result the demand for orange juice increases. what happens to the price and quantity of oranges in the market for oranges?

The price and quantity will increase because of the consumers wanting to get the orange juice.

if that means the colecting farms then thay lower but if it means the sellers then the price's go up and quanity go up

we know that the limit of both -1/x and 1/x as x approaches either positive or negative infinity is zero, therefore the limit of sin(x)/x as x approaches either positive or negative infinity is zero.