
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
The function \( f(x) \) satisfies \( f(1) = 1 \), and
\[ 
f(n) = f(n-1) + \frac{1}{n(n-1)} \quad \text{for} \quad n \geqslant 2, \, n \in \mathbf{Z}_{+}.
\]

Find \( f(2019) \).

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