lim(x->0) x/sinx=?lim(x->∞) x*sin1/x=?

lim(x->0) x/sinx=?lim(x->∞) x*sin1/x=?

Important limit LIM (x - > 0) SiNx / x = 1
lim(x->0) x/sinx=1 = lim(x->0) 1/(sinx/x)=1/1=1
lim(x->∞) x*sin1/x
Let t = 1 / x, then t - > 0
lim(x->∞) x*sin1/x=lim(t->0) sint/t=1