- #1

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[tex]

\left(\rho^4\cos^2{\theta} + \sin^3{\theta}\right)^{\frac{1}{3}} - \sin{\theta}

[/tex]

converges to 0 as rho->0 uniformely in theta (if it is true, of course)?

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- Thread starter malachia
- Start date

- #1

- 1

- 0

[tex]

\left(\rho^4\cos^2{\theta} + \sin^3{\theta}\right)^{\frac{1}{3}} - \sin{\theta}

[/tex]

converges to 0 as rho->0 uniformely in theta (if it is true, of course)?

- #2

Science Advisor

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It should be straightforward enough, since |sin|≤ 1 and the angle domain is a finite interval.

- #3

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But this is assuming you have defined or can assume x^(1/3) is defined and is continuous.

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