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"Convergence in probability" is a technical term in relation to a series of random variables. Not clear whether this was your question though, I suggest providing more context.
Yes, Consider Un = (-1)^n*n = -1, 2, -3, 4, ...
6; alternating decreasing series, by twos
One conclusion that can be drawn is an alternating: 34 10 33 9 and so on
0any number, or series of numbers, multiplied together (product) with zero equals zero; and the absolute value of zero is zero.