lim x tends to pi/2 tan 3x / tan x Share with your friends Share 6 Shalu Sharma answered this Consider the expression,limx→π2tan3xtanxUse trigonometric identity:tan3x=3tanx-tan3x3-3tan2xTherefore, above expression reduces tolimx→π2tan3xtanx=limx→π23tanx-tan3x3-3tan2xtanx=limx→π23tanx-tan3xtanx3-3tan2x=limx→π23-tan2x3-3tan2x=limx→π23-sin2xcos2x3-3sin2xcos2x=limx→π23cos2x-sin2x3cos2x-3sin2xPut the value of limit in the expression,=3cos2π2-sin2π23cos2π2-3sin2π2Since, cosπ2=0 and sinπ2=1=30-1230-312=-1-3=13 1 View Full Answer Rohit Goyal answered this Infinity 1