
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 $$f(x)=1+x- \frac {x^{3}}{3}+ \frac {x^{5}}{5}- \frac {x^{7}}{7}+ \frac {x^{9}}{9}- \frac {x^{11}}{11}+ \frac {x^{13}}{13},$$ find the smallest integer value of $x$ that makes the inequality $f(x-1)>0$ true.

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