ilarheab
16.07.2019 •
Mathematics
Use polar coordinates to find the limit. if (r, θ) are polar coordinates of the point (x, y) with r ≥ 0, note that r → 0+ as (x, y) → (0, 0). (if an answer does not exist, enter dne.) lim (x, y)→(0, 0) (x^6 + y^4) / (x^2 + y^2)
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Ответ:
In polar coordinates, and . So the limit is equivalent to
Since and , we have and , so that the behavior of as decides the behavior of the overall function, and the limit would be 0.
Ответ:
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