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