We report a comprehensive transverse-field SR study of Cu x TiSe 2 . The magnetic penetration depth was found to saturate at low temperature as expected in an s-wave superconductor. As x is increased we find that the superfluid density increases and the size of the superconducting gap, calculated from the temperature dependence of the superfluid density, is approaching the BCS value. However, for low values of x, the gap is smaller than the weak-coupling BCS prediction suggesting that two superconducting gaps are present in the sample.