03. Limits of two variables. PROVE THAT IT DOES NOT EXIST.

Опубликовано: 15 Июль 2026
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How to prove that a limit of two variables does not exist, by analyzing its values along various paths.

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▶️ More examples:    • Límites de varias variables

00:00 Introduction to limits of several variables
00:27 Analysis of the first limit and indeterminate form 0/0
01:42 Approximation technique by paths (one-sided limits in 2D)
03:20 Approximation by the line y = x
04:15 Approximation by the line y = -x
05:19 Approximation by the line y = 2x
06:08 Conclusion on the Non-existence of the first limit
06:30 Test with a general line y = mx (Slope m)
07:49 Analysis of the second limit with trigonometric functions
08:49 Considerations on other trajectories (parabolas)
09:25 Proposed exercises and video conclusion

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