
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(n)=1+ \frac{1}{2}+ \frac{1}{3}+…+ \frac{1}{n}(n∈N^{\*})$, it can be computed that $f(2)= \frac{3}{2}$, $f(4) > 2$, $f(8) > \frac{5}{2}$, $f(16) > 3$, $f(32) > \frac{7}{2}$. When $n > 2$, make a conjecture about the function.

Present the answer in LaTex format: \boxed{Your answer}
user