lim(sin√(x+1)-sin√x→+∞

lim(sin√(x+1)-sin√x→+∞

lim(sin√(x+1)-sin√x→+∞=lim(sin√(x+1)-lim(sin√x)x→+∞=
lim(sin√x)-lim(sin√x)x→+∞=0