Problems

On 16th September 2017:

The problem that was to be given a thought  for the next discussion was the following:

What is $\lim\limits_{x\to\infty}\cos (x) $ and how do you justify your answer?

Few answers that were obtained from people were:

·         Does not exist formally

·         Oscillates between +1 and -1.

The correct answer is it does not exist formally. Few people justified by approaching via Taylor expansion of cosine but it was discussed whether it was right to switch the summation and limit or not and how to justify if so? The proof shall be discussed in the next discussion by Jishu Das, 5^th Year DMS.