Mathematical Proof. | Using the Epsilon-Delta definition we are going to prove that the limit for the given function is 4. | Real Analysis & Multi-variable Calculus.
Personal presentation.
Hello everyone, receive a cordial greeting from me. I am a young mathematician apprentice, Venezuelan and enthusiastic about science in general. At present I am pursuing a "degree in mathematics" career, in which I am in the middle of the degree. On the other hand, I am currently doing research in the area of number theory at the University of Carabobo (UC).
Well, with great pleasure I will be uploading math content, tips to increase your performance in the study and science in general.
I hope you will accompany me on the arduous but beautiful path of mathematics and science.
Today i will prove that the limit for the given f(x,y) is 4, using the Epsilon-delta definition for it. Also i will show you how to use the Distance Formula in order to find the necessary relations between epsilon-delta. At the end you will see how i found the proper epsilon to satisfy the epsilon-delta definition of ordinary limit and prove that the limit is L, that in this case of study is 4. This mathematical proof belongs to the areas of: Real Analysis and Multi-variable Calculus.
Next I proceed to carry out the mathematical proof about the Limit on question.
The Hand-made mathematical proof and the LaTex written sheets were made it by me: @paultactico2
