TECHNOLOGY FOCUS - ELECTRICAL POWER AND ENERGY - Preferred Battery: In the rechargeable lithium battery, the first additive is present in at least one of the positive electrode or the negative electrode at 0.005 M to 2 M and the second additive is present in at least one of the positive electrode or the negative electrode at 0.005 M to 2 M. The rechargeable lithium battery further comprises a solid electrolyte interface (SEI) film on the surface of the negative electrode.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The positive active material layer comprises lithium metal oxide and activated carbon, where the activated carbon is included at 0.01-20 wt.% based on the total weight of the lithium metal oxide and activated carbon. The negative active material layer comprises soft carbon.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The first additive is included at 0.1-5 (preferably 0.5-1.5) wt.% and the second additive is included at 0.1-5 (preferably 0.1-1) wt.% based on the total weight of the electrolyte. The non-aqueous organic solvent comprises ethylene carbonate (EC), ethylmethyl carbonate (EMC), and dimethyl carbonate (DMC), and the ethylene carbonate (EC) is included at greater than or equal to 30 wt.% based on the total weight of the non-aqueous organic solvent. SPECIFIC COMPOUNDS - 5 Compounds i.e. compound of formulae (Ia)-(Ie) are specified as compound (I). 1 Compounds i.e. tris(trimethylsilyl) borate of formula (IIa) is specified as compound (II).    EXAMPLE - 1.15 M LiPF6 solution was prepared by mixing ethylene carbonate (EC), ethylmethyl carbonate(EMC), and dimethyl carbonate(DMC) in a weight ratio of 3:4:3 and adding LiPF6 to that. Subsequently, an electrolyte (E1) was prepared by adding 0.5 wt.% of lithium difluoro bis(oxalato)phosphate (LiDFBOP) and 0.5 wt.% of tris(trimethylsilyl)borate (TMSB), to the LiPF6 solution. A rechargeable lithium battery cell (test) was fabricated using the electrolyte (E1). A rechargeable lithium battery cell (comparative) was fabricated according to the test battery cell, except that lithium difluoro bis(oxalato)phosphate (LiDFBOP) and tris(trimethylsilyl)borate (TMSB) were not used. The results for discharge rate capability (%), and charge rate capability (%) of the test/comparative battery cell were found to be 84.1/74.3, and 74.2/71.2 respectively.