Solution Found!
Answer: Limits using polar coordinates Limits at (0, 0)
Chapter 9, Problem 57E(choose chapter or problem)
Limits using polar coordinates Limits at (0,0) may be easier to evaluate by converting to polar coordinates. Remember that the same limit must be obtained as \(r \rightarrow 0\) along all paths to (0,0). Evaluate the following limits or state that they do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{x^{2}}{x^{2}+y^{2}}\)
Questions & Answers
QUESTION:
Limits using polar coordinates Limits at (0,0) may be easier to evaluate by converting to polar coordinates. Remember that the same limit must be obtained as \(r \rightarrow 0\) along all paths to (0,0). Evaluate the following limits or state that they do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{x^{2}}{x^{2}+y^{2}}\)
ANSWER:Step 1 of 3
Given that
Limits at (0, 0) may be easier to evaluate by converting to polar coordinates. Remember that the same limit must be obtained as r ? 0 along all paths to(0, 0).
