Question
Can anyone solve these questions asap? 1. (18 points) Determine if the following limits exist. In...
can anyone solve these questions asap?
1. (18 points) Determine if the following limits exist. In each case prove and explain your argument. (a) lim ху x=(1,5) x + y lim x+(0,0) x2 + y2 (c) 4.xyz (b) x²y² lim x+(0,0) x4 + 3y4
Answers
€ Given that lim xy (1,5) xty lim - 1 x45 sa 6 so the limit is exist and equat to 5 lo s 010 44 3y 4 for the existence of limit consider the path y=mse to apprach (0,0) syam y=mse 0,0) lim 20 x4 + 3 mix4 lim m2 1+3m4 143m4. which shows the limit is different for different value of m But limit of a function is unique so in the problemThe limit does not exists. Given that lim wxyz W3100) x 742 O uny 2 Here the function f(m,n) en yaz approaches to (0,0) in any way and the limit is o Thas the problem contains limit.
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