real analysis – sandwich theorem

Does sandwich theorem hold for divergent sequences?
Given a divergent sequence $${v_n},$$ can we find 2 sequences $${u_n}$$ and $${w_n},$$ such that $${u_n} < {v_n} < {w_n},$$ and if $$u_n}$$ and $${w_n}$$ diverges to $$L,$$ then can we conclude $${v_n}$$ also diverges to $$L?$$