
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
Determine whether the given function is continuous or discontinuous at each of the provided argument values. In the case of a discontinuity, find the limit at the point of discontinuity from the right and the left, and sketch a schematic graph of the function.

$$
f(x)=4^{1 /(3-x)}, \quad x_{1}=1, \quad x_{2}=3
$$

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