Get inspired by the success stories of our students in IIT JAM MS, ISI MStat, CMI MSc Data Science. Learn More
Is Multivariate Limit equal to Iterated Limit?
The multivariate limit is really akin to the univariate limit. But, how can we explain that?
However, We discuss the following aspects in this regard.
📌 Firstly, we discuss the ideas of proving and disprove Univariate Limits. 📌 Then, come Multivariate Limits - How to prove and disprove? 📌 Thereafter, Iterated Limits appear - Understanding and Geometry. 📌 Hence, we discover Relationship between Multivariate Limits and Iterated Limits. 📌 We end with Food for Thought.
Iterated Limits are a bypass. Do they really explain the Multivariate Limit?
We discover a rich relationship between the two. We give all the cases possible between multivariate limits and iterated limits.
Hints, Solution, and More
Food For Thought
Write down the \( \epsilon - \delta\) definition of multivariate limit.
How can you disprove the existence of a multivariate limit?
Think of some useful ways to prove the existence of a multivariate limit?