
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 $f(x)= \begin{cases} \frac {x+2}{x-1}, x\neq 1\\ 1, x=1 \end{cases}$, calculate the value of $f( \frac {1}{101})+f( \frac {2}{101})+f( \frac {3}{101})+…+f( \frac {201}{101})$.

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