Prove that if a sequence converges in distribution to a constant value, then it also converges in

Question:

Prove that if a sequence converges in to a constant value, then it also converges in probability. This one together constitute an alternative proof to the weak law of large numbers. Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...