An apparatus and a method for detecting a black area of dynamic image content in an electronic device are provided. The electronic device may include a housing, a display device exposed through a portion of the housing, a recess disposed inside the housing and extending along a length of the housing, an electronic pen insertable into the recess and removable therefrom, at least one processor located inside the housing and operatively connected to the display device, and a memory operatively connected to the at least one processor. The memory stores instructions that, when executed, cause the at least one processor to identify whether the electronic pen is removed from the recess in a low-power mode, receive information related to the electronic pen when the electronic pen is removed from the recess, and execute an application, based on at least a portion of the information related to the electronic pen.