Let h: be continuous on satisfying =0 for all m within integers and n within naturals. Show that h(x)=0 for all x within reals
Let with WLOG. Take so that . Then it means there is such that if . The problem is that on any interval we can find a number having the form . And . This is a contradiction.
Let with WLOG. Take so that . Then it means there is such that if . The problem is that on any interval we can find a number having the form . And . This is a contradiction.
would u not have to prove h(r)<0. If so how would i go about doing that??