lim(sin√(x+1)-sin√x) x→+∞

lim(sin√(x+1)-sin√x) x→+∞

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