  We compute holographic complexity of charged black brane solutions in
arbitrary dimensions for the near horizon limit of near extremal case using two
different methods. The corresponding complexity may be obtained either by
taking the limit from the complexity of the charged black brane, or by
computing the complexity for near horizon limit of near extremal solution. One
observes that these results coincide if one assumes to have a cutoff behind
horizon whose value is fixed by UV cutoff and also taking into account a proper
counterterm evaluated on this cutoff. We also consider the situation for Vaidya
charged black branes too.
