Solution Found!
Proof of Limit Law 1 Use the formal definition of a limit
Chapter 9, Problem 70AE(choose chapter or problem)
QUESTION:
Proof of Limit Law 1 Use the formal definition of a limit to prove that \(\lim _{(x, y) \rightarrow(a, b)}[f(x, y)+g(x, y)]=\lim _{(x, y) \rightarrow(a, b)} f(x, y)+\lim _{(x, y) \rightarrow(a, b)} g(x, y)\).
Questions & Answers
QUESTION:
Proof of Limit Law 1 Use the formal definition of a limit to prove that \(\lim _{(x, y) \rightarrow(a, b)}[f(x, y)+g(x, y)]=\lim _{(x, y) \rightarrow(a, b)} f(x, y)+\lim _{(x, y) \rightarrow(a, b)} g(x, y)\).
ANSWER:Solution 70AE Step 1:The Sum Rule If f(x,y)=L and g(x,y)= M both exist then [f(x,y) +g(x,y)] =L+ M