When we say, ''How long is the rope?'' What are we exactly asking for?
In limts, we speak of the value of a function when it tends to a given number. As we say:
limx-->a f(x), we mean to say we are trying to find the value of f(x) as x tends to a number a.
But how close exactly is this? I mean how close to a should x be when we say x-->a. The value of x can be a + 0.0001 or it can be a + 0.000000001. So what should the value of x be as we say x tends to a?
If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for?
If chemistry says that we are made up of matter and biology says we are made up of cells ,what are we exactly made up of??
If we are made of atoms why don't we share and take electrons?