2 2 em+y _1 f(w,y)= 362+y2 ' 0: (23,y)=0 ) [4 marks] Let g(:c, y) = 83:24-92 1. Find P2,(0,0)(m, y), the degree 2 Taylor polynomial o: g at (O, O). Show all your work. ) [3 marks] Using one of the corollaries to Taylor's Theorem (Section 8.3), prove that there exists a constant M > 0 so that for all (:3, y) in some neighborhoud of (0, O). ) [3 marks] Using part (b), evaluate lim 3:, . (m.y)->(0.0) f( y) ) [2 marks] Is f continuous at (0,0)? Explain