1. Consider the following: rayb lim (x,y)-(0,0) x3 + y8 has limit and when it does not, depending on the values of a and b. In this assignment, a, b 2 0. (a). If a + b 8. (1) Show that the inequality rayb - (1x / : + ly| 2+b-8 holds . Hint: Divide into two cases: . lx| is bigger than Lyl, . lyl is bigger than (x]. (2) Using the Squeeze Theorem, show that the limit rayb lim (x,y)-(1,0) x8 + 18 exists and is equal to o