Limits to Infinity (solving + shortcuts) | Limits | Precalculus

Alam niyo ba ang shortcut sa paghanap ng limits kapag may fraction tayo and polynomial pareho 'yung nasa numerator and denominator? (simple lang siya actually) Since nai-introduce na natin 'yung limits to infinity sa previous video, it is high time na para magproceed na tayo run sa solving talaga na part ng mga limits involving limits to infinity. And 'yun ang gagawin natin sa video na 'to - aaralin natin kung ano 'yun mga pwedeng tingnan natin sa mga limits para sa unang tingin pa lang, alam na natin kung ano 'yung limit niya. Ieexplain natin dito kung ano ang effect ng coefficients sa limits natin. Bibigyan namin kayo ng shortcut sa pag-evaluate ng limits lalo na kapag nakafraction sila and may numerator and denominator na polynomial (iba-ibang situations - magkaiba ang degree, and same ang degree ng numerator and denominator). Previous video: https://youtu.be/PQvnPDzDR44 Next video: https://youtu.be/n6BRabnuLXg 0:00 Introduction 0:20 Preliminary problems part 1 1:48 Preliminary problems part 2 2:41 Understanding the effect of Coefficients on Limits 5:16 Limit when the Numerator has a Higher Degree 6:21 Limit when the Denominator has a Higher Degree 7:14 Understanding the effect of Degree on Limits 7:55 Limits when the Numerator and the Denominator have the same degree 10:28 Recap 12:48 Practice Problems 13:07 Answers to the practice problems Juan Academy is an educational channel made for students, by the students. It is a project of two cousins from Bicol in the hopes of providing Filipino students extra resources for their classes. We provide lessons, solutions to sample problems, and assignments to ensure students achieve a certain level of mastery on the topics they wish to understand more. Preliminary problems part 1 1. limit of x as x approaches infinity 2. limit of x^2 as x approaches infinity 3. limit of x^3 as x approaches infinity 4. limit of 100x^2 as x approaches infinity 5. limit of x^3/100 as x approaches infinity Preliminary problems part 2 1. limit of 1/x as x approaches infinity 2. limit of 1/x^2 as x approaches infinity 3. limit of 1/x^3 as x approaches infinity 4. limit of 100/x^2 as x approaches infinity 5. limit of 1/100x^3 as x approaches infinity Other problems in this lesson 1. limit of x^2 - 10x as x approaches infinity 2. limit of x^2 - 110x as x approaches infinity 3. limit of (x^2 - 10x) / (x + 5) as x approaches infinity 4. limit of (x + 5) / (x^2 - 10x) as x approaches infinity 5. limit of (3x^2 + 8x) / (4x^2 - 3) as x approaches infinity 6. limit of (15x^3 - 2x^2 + 6) / (3x^3 + 10x) as x approaches infinity