3. (a) Using the definitions of

lim ta ~r(t) = ~L and lim (x,y)(a,b) f (x, y) = L The ~r is an r with a vector arrow above it.

as guides, formulate the definition of

lim (x,y)(a,b) F~ (x, y) = ~L The ~F and ~L have vector arrows above them

(b) Using limit definitions of: '~r is continuous at a' and 'f (x, y) is continuous at (a, b)' as guides, formulate the limit definition of: 'F~ (x, y) is continuous at (a, b).' The ~F and ~r have vector arrows above them

(c) Using the limit definitions of ~r'(t) and fx (x, y) as guides, the f here has a subscript x on it. The ~r is a r with a vector arrow above it.

formulate the limit definition of ~ru(u, v) for a vector valued function ~r(u, v). the ~ru is a r with a vector arrow and subscript u. the ~r has a vector arrow above it.