Math 2A

Practice Midterm

1. Evaluate the following limits:

(a)

(b)

(c)

(d)

2. List all values of x for which each function below is NOT continuous. If no such x exist, say CONT. EVERYWHERE:

(a)

(b)

(c)

(d)

3. Find all horizontal and vertical asympototes of the following functions if they exist. You do NOT need to show work:

(a)

(b)

(c)

(d)

4. Compute the indicated derivative of each of the following functions.

a)

b)

c)

d)

e)

f)

5. Prove there is at least one solution to the equation 4 − ex = x2:

6. Find the equation of the tangent line at the point (2, 1) to the curve defined by the equation:

(x2 + y2)3 = 150 cos(πxy) − 25