136.152: Test #3

Solutions

1. Evaluate the following limits. Show your work.

(a)

(b)

2. Suppose

Find , and . Is continuous at x=1?

.

.

(given).

Since these three numbers are not equal, the function is not continuous at x=1.

3. Suppose the distance function is given by (in kilometers) where is time measured in hours. What is the velocity at the moment when is 4 hours. Show your work.

Want . We compute,

km/h