Thermoplastic resin film and method for producing thereof

A method for producing a thermoplastic resin film, comprising the steps of:

• extruding a molten thermoplastic resin from a die in a sheet shape;
• and
• forming a film by cooling and solidifying the sheet-shaped thermoplastic resin while sandwiching the sheet-shaped thermoplastic resin with a pair of rollers having an arithmetic average surface roughness Ra of 100 nm or less and made up of rolls at least one of which is an elastic roll made of a metal, wherein
• the pair of rollers satisfy all of the following equations (1), (2) and (3):
• when X (° C.)=a glass transition temperature of the thermoplastic resin Tg (° C.)—a temperature of the elastic roll (° C.), and Y is a line speed (m/min),
• 0.0043X2+0.12X+1.1≦Y≦0.019X2+0.73X+24 (1),
• when Z represents a radial thickness of the outer cylinder of the elastic roll,
• 0.05 mm<Z<7.0 mm (2), and
• when Q cm represents a length of the portion of the pair of rollers where they are in contact with each other via the sheet-shaped thermoplastic resin, and P (kg/cm) represents a linear pressure for sandwiching the sheet-shaped thermoplastic resin with the pair of rollers,
• 3 kg/cm2<P/Q<50 kg/cm2 (3).