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26 lim (x,y)- (0,0) 23 + 26 (1) Determine whether the following argument in italics is correct and explain your reason: choose y = mx

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26 lim (x,y)- (0,0) 23 + 26 (1) Determine whether the following argument in italics is correct and explain your reason: choose y = mx for any m E R. Then lim lim 1 - m6x3 (x,mx)- (0,0) 23 +y6 = lim 1+01+m623 =1. Since the limit is always equal to 1 for any m, one concludes that the limit in (1) exists and is equal to 1. If you think the argument above is incorrect, find a correct way to determine whether the limit in (1) exists

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