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Why 1 divided by 0 is undefined but sometimes infinity
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Is 1 divided by 0 equal to infinity? This question has puzzled mathematicians for centuries, and there is no easy answer. In this video, we will explore the different ways to think about 1 divided by 0 and try to understand why it is such a special number. • We will start by looking at the basic definition of division. Division is the inverse of multiplication, which means that a divided by b is the same as x, where x is the number that, when multiplied by b, gives a. • So, what happens when we divide by 0? There is no number x that, when multiplied by 0, gives 1. This is because 0 multiplied by anything is always 0. • So, 1 divided by 0 is undefined. But what if we think about it in terms of limits? A limit is the value that a function approaches as its input approaches a certain value. • For example, the limit of the function f(x) = 1/x as x approaches 0 is infinity. This means that as x gets closer and closer to 0, the value of f(x) gets closer and closer to infinity. • This doesn't mean that 1 divided by 0 is actually equal to infinity. It just means that as we get closer and closer to dividing by 0, the result gets closer and closer to infinity. • So, why is 1 divided by 0 so special? It is special because it is the only number that is undefined. It is also special because it is the only number that can be approached by a function, but never reached. • In this video, we will explore the different ways to think about 1 divided by 0 in more detail. We will also discuss some of the paradoxes that arise when we try to divide by 0. • If you are interested in learning more about this fascinating topic, be sure to watch this video! • • • Watch more from TSP • Solve commenly asked questions • • Solve these commenly asked important ... • Introduction to Euclid's Geometry • • Video • Linear equations in two variables • • Linear equation in two variable l Cla... • Coordinate geometry • • co-ordinate geometry l Class 9th l Ma... • Divisibility rule • • Divisibility check • Synthetic division • • Synthetic division l Class 9 l Ex. 2.... • Multiplication trick • • Solve in just a second l Multiply num... • Find cube of a number • • Solving cube with 1.5 second cube timer • Quadratic equations • • quadratic equations solve karne ke 3 ... • Square root Trick • • Square of a imperfect number l maths ... • For more visit my channel • https://youtube.com/@tsp9911?si=su0m1... • Follow me on Instagram • https://instagram.com/the_study_place_?igs...
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