Can anyone help me with this Advanced Multivariable Calculus
Can anyone help me with this Advanced Multivariable Calculus question?
Problem 4. Suppose that M is a number collection and P is a limit number of M. Is there a number sequence A, each term of which is in M, such P is a sequential limit number of A? Explain your answer using English sentences.
Solution
We can consider M = { 0,1, 1/2, 1/3 ,....}. Clearly 0 is a limit number of M.
Now if we consider a sequence {1/n} , then its limit will be 0 ( because as n--> infinity , 1/n ----> 0)

