limx→∞a1/x+b1/x+c1/x3x=     ( where a,b,c are real and non-zero)

limx→∞a1x+b1/x+c1/x3x   =limx→∞xa1/x+b1/x+c1/x3-1 e  =limx→∞ e xa1/x+b1/x+c1/x-33 =elimx→∞xa1/x-1+b1/x-1+c1/x-13 =limx→∞13a1/x-11x+b1/x-11x+c1/x-11x=e13(logabc)=elog(abc)13=(abc)13