2728 Evaluate the limits by converting to spherical coordinates( , , ) and by observing
Chapter 13, Problem 27(choose chapter or problem)
Evaluate the limits by converting to spherical coordinates \((\rho, \theta, \phi)\) and by observing that \(\rho \rightarrow 0^{+}\) if and only if \((x, y, z) \rightarrow(0,0,0)\)
\(\lim _{(x, y, z) \rightarrow(0,0,0)} \frac{x y z}{x^{2}+y^{2}+z^{2}}\)
Equation Transcription:
Text Transcription:
\rho, \theta, \phi
\rho \rightarrow 0^+
(x, y, z) \rightarrow(0,0,0)
\lim _(x, y, z) \rightarrow(0,0,0) x y z x^2+y^2+z^2
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