Final answer:
The behavior that is indicative of labile behavior associated with borderline personality disorder is hypersexualization and self-injury due to the associated emotional instability and impulsivity, which reflects option b) in the choices provided.
Step-by-step explanation:
The behavior that is indicative of labile behavior associated with borderline personality disorder (BPD) includes dramatic, rapid shifts in emotions and unstable mood changes. While the provided options do not directly describe labile behavior, the option b) Hypersexualization and self-injury is the closest to indicating the kind of rapid emotional changes and impulsivity often seen in BPD. Labile behavior in BPD can manifest as intense episodes of anger, depression, and anxiety that can last from a few hours to days. These may include impulsive actions and difficulty controlling emotions, which is why self-injury is a common symptom of this disorder. In contrast, withdrawn and silent behavior (a) is less indicative of lability, and engaging in intellectual discussions (c) or expressing contentment with life circumstances (d) do not align with the concept of emotional instability associated with BPD.