Solution Found!
Nonexistence of limits Use the Two-Path Test
Chapter 9, Problem 30E(choose chapter or problem)
QUESTION:
Nonexistence of limits Use the Two-Path Test to prove that the following limits do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{y}{\sqrt{x^{2}-y^{2}}}\)
Questions & Answers
QUESTION:
Nonexistence of limits Use the Two-Path Test to prove that the following limits do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{y}{\sqrt{x^{2}-y^{2}}}\)
ANSWER:Step 1 of 2
A function is said to be continuous at a point of its domain, it the right hand limit and the left hand limit at that point coincide with the functional value at that point.