
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 $f_{1}(x)=\sin x+\cos x$, denote $f_{2}(x)=f_{1}ˈ(x)$, $…$, $f_{n+1}(x)=f_{n}ˈ(x)$, $…$, then find the value of ${f}_{1}\left( \frac{π}{3}\right)+{f}_{2}\left( \frac{π}{3}\right)+{f}_{3}\left( \frac{π}{3}\right)+⋯+{f}_{2017}\left( \frac{π}{3}\right)$ .

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