10. a) Give one example for the following. Justify your choice of examples.
i) A bounded set having no limit point.
ii) A bounded set having infinite number of limit points.
iii) A infinite compact set which is not an interval. (6)
b) Prove that the function f defined by



−
=
,4 if is irrational
,4 if is rational
( )
x
x
f x
is discontinuous at each real number, using the sequential definition of continuity. (4)
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment