Question

Is anyone good in the topic real analysis ? college level

Answer 1

Yes, 2nd year

Answer 2

Presumming your using the american definition of college... which is known as university it England.

Answer 3

well university in canada. i go to uft and i need help in some questions that i do not get in my head

Answer 4

such as?

Answer 5

like would you know this question?

The sets below are described by some logical properties; find them as
intervals of the real line:
a) A = {x E R : (for all b > 5 : x < b)};
b) A = {x E R : (for all (epsilon) > 0 : |x 10| < (epsilon)}

Answer 6

I believe the first one implies A is the entire real line.

Answer 7

how so like dont i need to construct a proof

Answer 8

Well firstly what is b? is it any element of the reals?

Answer 9

b is any arbitrary number

Answer 10

so x can be any number less than b and b is not bounded upwardly thus if loosely look at as b=inf then x is anything less than b. i.e. any element of the reals

Answer 11

so are finding intervals of b?

Answer 12

I am aiming to restrict the values that x can take by looking at the constraints on it. However the constraint that x must be less than b does not mean anything if b can be infinitely large