agentchat.contrib.captainagent.tools.math.find_continuity_point

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find_continuity_point

def find_continuity_point(f_leq, f_gt, x_value)

Find the value ‘a’ that ensures the continuity of a piecewise function at a given point.

Arguments:

• f_leq str - The function expression for f(x) when x is less than or equal to the continuity point, in the form of a string.
• f_gt str - The function expression for f(x) when x is greater than the continuity point, in the form of a string.
• x_value float - The x-value at which continuity is to be ensured.

Returns:

float or None: The value of ‘a’ that satisfies the continuity condition, or None if no such value exists.