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2. Define f : RR by - y 1(x) = { 2+2 (ay) (0,0); (z,y) = (0,0). (i) Isf continuous at (0,0)? Justify your answer. (ii) Show

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(2) J. 1R? > IR by flix,y) = {xy 22 - 4 2 2 6 7) + (0,0) | [ 0 (0%)=(0,0) 제님2 og ☺ 1508,4) – f-0,0) | - | xy Tab . 1xyl bloms(0) DF (7,0) 3.eim f((x0)+(0,K)) —$(x(0) kto AK. se FCxK) – $(8,0 Ktoi . xk. x2_k2 lim 2 k2 Kyo k itok = ZSim 22-K2 ko 22+KI.= – lim kao TI 3 -1. . .... Again, Dua f(0,0) = D. (D4 f60,w) - lion D2f1.20,0)+(,0)) — Df210,0) ho. b. = lim Daf(h,o) - no h

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