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Solved: Limit proof Use the formal definition of a limit
Chapter 9, Problem 68AE(choose chapter or problem)
QUESTION:
Limit proof Use the formal definition of a limit to prove that \(\lim _{(x, y) \rightarrow(a, b)} y=b\) (Hint: Take \(\delta=\varepsilon\).)
Questions & Answers
QUESTION:
Limit proof Use the formal definition of a limit to prove that \(\lim _{(x, y) \rightarrow(a, b)} y=b\) (Hint: Take \(\delta=\varepsilon\).)
ANSWER:Solution 68AE
Step 1:
Limit proof Use the formal definition of a limit to prove that
(Hint: Take δ = ℇ.)
Definition: Let us consider the function with two variables f(x,y)=L there must be function ,call ( such that the all >0
| f(x,y)- L| <
|(x,y)-(a,b)| <(