
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 $f(x)=x^{2}+2bx$, its graph has a tangent line $l$ at point $A(0,f(0))$ that is parallel to the line $x-y+3=0$. If the sum of the first $n$ terms of the sequence $\{\frac{1}{f(n)}\}$ is $S_{n}$, find the value of $S_{2016}$.

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