limx→0sinax = axbx+sinbx At x = 0, the value of the given function takes the form 0/0. Now, = limx→0sinax = axbx+sinbx = limx→0 (axsinax) ax + axbx + bx(bxsinbx) =(limax→0axsinax) ×limx→0(ax) + limx→0bx / limx→0(ax) + (limbx→0bxsinbx) [As x→0⇒ax→0 and bx→0] =limx→0ax+limx→0bxlimx→0(ax)limx→0bx =limx→0(ax+bx)limx→0(ax+bx) =limx→0 (1) =1