Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 1 1 1 1 1 1 1 { 2 7' 5' lim an = n-00

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## Sequence Convergence or Divergence

### Problem Statement
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

### Sequence
\[ \left\{ \frac{1}{4}, \frac{1}{2}, \frac{1}{5}, \frac{1}{3}, \frac{1}{6}, \frac{1}{4}, \frac{1}{7}, \frac{1}{5}, \ldots \right\} \]

### Limit Calculation
\[ \lim_{{n \to \infty}} a_n = \boxed{\ \ \ } \]

In the text above, the sequence is represented as a set of fractions, each separated by a comma and enclosed in curly braces. The limit of the sequence is to be calculated symbolically as \( n \) approaches infinity, and the result should be filled in the provided box. If the sequence does not converge, indicate it by writing "DNE" (Does Not Exist).
Transcribed Image Text:## Sequence Convergence or Divergence ### Problem Statement Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) ### Sequence \[ \left\{ \frac{1}{4}, \frac{1}{2}, \frac{1}{5}, \frac{1}{3}, \frac{1}{6}, \frac{1}{4}, \frac{1}{7}, \frac{1}{5}, \ldots \right\} \] ### Limit Calculation \[ \lim_{{n \to \infty}} a_n = \boxed{\ \ \ } \] In the text above, the sequence is represented as a set of fractions, each separated by a comma and enclosed in curly braces. The limit of the sequence is to be calculated symbolically as \( n \) approaches infinity, and the result should be filled in the provided box. If the sequence does not converge, indicate it by writing "DNE" (Does Not Exist).
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