
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}\\) and \\(F_{2}\\) be the common foci of the ellipse \\(C_{1}\\): \dfrac {x^{2}}{a_{1}^{2}}+ \dfrac {y^{2}}{b_{1}^{2}}=1(a_{1} > b_{1} > 0) and the hyperbola \\(C_{2}\\): \dfrac {x^{2}}{a_{2}^{2}}- \dfrac {y^{2}}{b_{2}^{2}}=1(a_{2} > 0,b_{2} > 0) and \angle F_{1}MF_{2}=90^{\circ}, find the range of the eccentricity e_{2} of the hyperbola C_{2}.

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