The image you've provided contains some mathematical problems about sequences and limits. Let's break it down:

Problem 9:

• The general term of a sequence is $n^3 - n^2$.
  • a) Write the first six terms of the sequence.
  • b) Explain why the limit of the sequence does not exist.

Problem 12:

• For each of the following sequences:

  • i) State the limit, if it exists, and explain why. Use a graph to support your answer.

  • ii) Write a limit expression to represent the behavior of the sequence.

    a) Sequence: $1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots$

    b) Sequence: $2, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, 2^{2-n}, \ldots$

    c) Sequence: $4, 5, \frac{1}{2}, 4^2, 4^3, 5^{1/4}, 5^{1/5}, 5^{1/6}, \ldots$

Would you like me to solve and explain these problems step-by-step? Let me know if you need any specific part of the problem explained in more detail!