 
Summary: 18.024ESG Problem Set 6
Pramod N. Achar
Spring 2000
Starting this week, we will primarily be using Apostol, Volume II.
Tuesday
1. Show that
lim
(x,y)(0,0)
y2
x2 + y2
does not exist. (Hint: What happens if you fix x = 0 and let y 0?
What if you fix y = 0 and let x 0?)
2. Exercises 1, 13, and 16 in Section 8.9 of Apostol, Volume II.
Thursday
3. Exercises 1(a) and 2(a) in Section 8.14 of Apostol, Volume II.
4. Let g : R3
R3
be the function g(x, y, z) = (x, y, z). Find a function
f : R3
R such that f = g.
