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The obtained branching ratio of $\\mathcal{B} (B \\rightarrow D_2^{\\star}(2460)\\ell^{+} \\nu_{\\ell})$ agrees with the experimental data. We predict $\\mathcal{B}\\left(B_s^{0} \\rightarrow D_{s2}^{\\star-}(1P) \\ell^{+} \\nu_{\\ell}\\right)$$=$$3.76\\times 10^{-3}$ and $\\mathcal{B}\\left(B_c^+ \\rightarrow \\chi_{c2}(1P)\\ell^{+} \\nu_{\\ell}\\right)$$=$$1.82\\times 10^{-3}$. 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