Consider the function of two variables f(x, y) =
1. if (x, y) approaches (0, 0) along the x-axis, then what is the
limit?
2. if (x, y) approaches (0, 0) along the y-axis, then what is the
limit?
3. Determine whether
does exist or not.
4. If f(x, y, z) = xsin(yz), (a) find the gradient of f and
(b) find the directional derivative of f at P(1, 3, 0) in the
direction of v = i + 2j - k.