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This paper aims to categorize Brazilian Internet users according to the diversity of their online activities and to assess the propensity of these Internet users' groups to use electronic government (e-gov) services. The Amartya Sen's Capability Approach was adopted as the theoretical framework for its consideration of people's freedom to decide on their use of available resources and their competencies for these decisions, leading to the use of e-gov services. Multivariate statistical techniques were used to perform data analysis from the 2007, 2009 and 2011 editions of ICT Household Survey. The results showed that Internet users belonging to the advanced and intermediate use groups were more likely to use e-gov services than those who belong to the sporadic use group. Moreover, the results also demonstrated that the Internet user group of intermediate use presented a higher tendency to use e-gov services than the Internet user group of advanced use. This tendency is possibly related to the extensive use of interactive and collaborative activities of leisure and entertainment performed by this type of user. The findings of this research may be useful in guiding public policies for the dissemination and provision of electronic government services in Brazil.