08. Límites de dos variables ANÁLISIS COMPLETO Y DEMOSTRACIÓN

In this video, we'll see the complete analysis we need to perform on a limit of two variables that has the indeterminate form 0/0. First, we'll try to prove that it doesn't exist by analyzing its values ​​as it's approximated by straight lines and curves of the form y=x^n. Then, we'll see what happens when we change to polar coordinates, and finally, we'll prove its value using the sandwich lemma or compression theorem. ⏮️ Previous:    • 07. Límite de dos variables ¡CUIDADO AL US...   ⏭️ Next:    • 09. Límites de tres variables MEDIANTE SIM...   ▶️ More examples:    • Límites de varias variables   00:00 Introduction to the trigonometric limit of two variables 01:03 Paths along straight lines passing through the origin (y = mx) 02:49 Paths along general curves (y = x^n) 05:12 Analysis using polar coordinates 07:20 Formal proof of the limit (Sandwich Theorem) 10:41 Next video: Limits of three variables #calculus #limits #EasyMath 🚥🚥🚥🚥🚥🚥🚥🚥🚥 🎞️ CHECK OUT MORE FREE COURSES 🎞️ 📖 Math Review Course (Pre-University)    • Curso de Repaso de Matemáticas   🧮 Elementary Algebra:    • Curso Completo de Álgebra   📐 Elementary Geometry:    • Curso Completo de Geometría Elemental   🌟 Trigonometry:    • Curso Completo de Trigonometría   💫 Analytic Geometry:    • Curso completo de Geometría Analítica   📈 Functions:    • Funciones   🌀 Limits:    • Límites   ❄️ Derivatives:    • Curso Completo de Derivadas   🎢 Applications of Derivatives:    • Aplicaciones de las DERIVADAS   🔥 Integrals:    • Curso Completo de Integrales - Cálculo Int...   🎡 Applications of Integrals:    • Aplicaciones de las Integrales   ☕ Ordinary Differential Equations (ODEs):    • Curso Completo de Ecuaciones Diferenciales   🌉 Partial Differential Equations (PDEs):    • Curso Completo de Ecuaciones en derivadas ...   🔬 Applications of Differential Equations:    • Aplicaciones de Ecuaciones Diferenciales   ➿ Linear Algebra:    • Curso de ÁLGEBRA LINEAL   🎈 Multivariable Calculus (Vector Calculus):    • Curso Completo de Cálculo de varias variab...   🌋 Double and Triple Integrals:    • Integrales dobles y triples   ⚡ Complex Variables:    • Curso Completo de Variable Compleja (Cálcu...   ♾️ Sequences and Series:    • Sucesiones y Series (Sumatorias, notación ...   🌐 Polar, Cylindrical, and Spherical Coordinates:    • Coordenadas Polares, cilíndricas, esférica...   🕸️ Parametric Curves and Equations:    • Curvas paramétricas   🕯️ Fourier Analysis Course:    • Curso de Análisis de Fourier   💎 Exclusive Videos 💎:    • Members-only videos   🚥🚥🚥🚥🚥🚥🚥🚥🚥 🪐 ALL MY COURSES 🪐 🔗 https://matefacil.net/ 🚥🚥🚥🚥🚥🚥🚥🚥🚥 📚 BIBLIOGRAPHY 📖 📙 Calculus of Several Variables, James Stewart 📗 Calculus, Larson 📘 Calculus, Thomas 📕 Infinitesimal Calculus of Several Variables, Juan de Burgos 📙 Calculus, Bartle 📗 Calculus, Apostol 📘 Calculus and Mathematical Analysis Courant 📕 Calculus, Lang 📙 Calculus, Frank Ayres (Schaum's Outline) 📗 Differential and Integral Calculus, Piskunov (MIR) 🚥🚥🚥🚥🚥🚥🚥🚥🚥 🏦 DONATIONS 🙏 🅿️ Paypal: https://www.paypal.com/cgi-bin/webscr... 💎 Channel Memberships:    / @matefacilyt   🔸 Patreon:   / matefacil   🚥🚥🚥🚥🚥🚥🚥🚥🚥 🛜 MY OTHER CHANNELS AND SOCIAL MEDIA 🛜 🟪 Telegram Group: https://t.me/matefacilgrupo 🟥 Physics Channel:    / @matefacilfisica   🟩 Personal Channel:    / @matefacily   ⬛ Twitch:   / matefacil   🟦 Facebook (Page):   / matefacilyt   🟫 Twitter:   / matefacilx   🟧 Instagram:   / matefacilx   ⬜ TikTok:   / matefacilx   🟨 Discord:   / discord   🚥🚥🚥🚥🚥🚥🚥🚥🚥 #Mathematics #Math #tutorials #teacher __________________________________ - The best free math courses. Complete math courses from scratch. Step-by-step math video tutorials. Solved examples of limits. Explained limit exercises. How to calculate a limit. Techniques for calculating limits. Free calculus course explained from scratch.