
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
Let $f(x)$ be an odd function defined on the set of real numbers $\mathbb{R}$, and when $x > 0$, $$f(x)= \frac {k}{x+1},$$ where $k \in \mathbb{R}$ and $k \neq 0$.

(1) When $k=1$, find the expression for $f(x)$.

(2) Given that $f(x) > 1$ holds true for $0 < x < 1$, find the range of values for the real number $k$.

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