The value oflimx→03√1+sinx−3√1−sinxxis
2/3
-2/3
3/2
-3/2
limx→03√1+sinx−3√1−sinxx=limx→0(1+sinx)−(1−sin s)(1+sin x)2/3+(1+sin x)2/3+(1−sin x)2/3(1−sinx)2/3×1x=limx→02(1+sin x)2/3+(1+sin x)1/3+(1−sin x)1/3+(1−sinx)2/3×sin(x)x = 23.1=23