Calcular los siguientes ĺımites dobles: 269 ĺım (x,y)→(0,1) x2y2. 270 ĺım (x,y)→(0,1) exy. 271 ĺım (x,y)→(0,0) sen(x2 + y2) x2y2. 272 ĺım (x...

Calcular los siguientes ĺımites dobles:


269 ĺım (x,y)→(0,1) x2y2.
270 ĺım (x,y)→(0,1) exy.
271 ĺım (x,y)→(0,0) sen(x2 + y2) x2y2.
272 ĺım (x,y)→(0,0) sen(xy) xy.
273 ĺım (x,y)→(0,0) x2 − y2 x2 + y2.
274 ĺım (x,y)→(0,0) x2 x2 + y2.
275 ĺım (x,y)→(0,0) 2xy3 x2 + y4.
276 ĺım (x,y)→(0,0) x6 (x2 − y)2 + y6.
277 ĺım (x,y)→(0,0) xy x2 + y2.
278 ĺım (x,y)→(0,0) x2y x2 + y2.
279 ĺım (x,y)→(0,0) exy − 1 xy.
280 ĺım (x,y)→(0,0) xy + y2 x2 + y2.
281 ĺım (x,y)→(0,1) (1 + |x|)|xy| −1.
282 ĺım (x,y)→(0,0) x2y3 x4 + y6.
283 ĺım (x,y)→(0,0) xy2 x2 + y4.
284 ĺım (x,y)→(0,0) x3y2 x2 + y2.
285 ĺım (x,y)→(0,0) exy − 1 x.
286 ĺım (x,y)→(0,0) x4 − y x− y4.
287 ĺım (x,y)→(0,0) xy 2x2 + y2.
288 ĺım (x,y)→(0,0) x2y + xy2 x3 + y3.
289 ĺım (x,y)→(0,0) (1 + x2 + y2)(x2+y2)−1.
290 ĺım (x,y)→(−1,1) x2 + 2xy2 + y4 x+ y2.
291 ĺım (x,y)→(0,0) (x2 + y2) log(x2 + y2).
292 ĺım (x,y)→(1,−1) x2 + y2 − 2x− 2y x2 + y2 − 2x+ 2y + 2.
293 ĺım (x,y)→(0,0) √1 + x3 − y3 − 1 arc sen(x2 + y2 + x)− arc senx.
294 ĺım (x,y)→(0,0) 6xy3 − x2y y4 + x2.