Determine whether the sequence defined by converges or diverges.If it converges,find its limit.

Question

Determine whether the sequence defined by  converges or diverges.If it converges,find its limit.

Quizplus · Accepted Answer

It is not clear what the terms of the sequence are, but we can still determine whether it converges or diverges based on the information given. The sequence is defined by a string of characters and numbers separated by underscores. The fact that it is a sequence implies that each term is obtained from the previous one in some way.

However, the specific pattern or formula for generating the terms is not given. Without this information, we cannot determine the limit of the sequence, but we can still say that it either converges or diverges.

If the terms of the sequence are getting closer and closer together as we move further along the sequence, then the sequence converges. Otherwise, it diverges. Based on the information given, we cannot say for sure which is the case, but we can eliminate choices A, C, and D because they all suggest that the sequence either diverges or does something unpredictable.

Choice B is the only one that suggests that the sequence converges to a specific value. While we cannot verify this, it is the best choice based on the information given.

Determine Whether the Sequence Defined by Converges or Diverges