| a. | If  is a sequence
of connected sets in  , and if  then  is
connected. |
| b. | If A is an uncountable subset of , then A has a limit poin |
| c. | Let  and  be two sequences in .If both  and
 converge,
then  converges
absolutely. |
| d. | Let f : be
a real-valued function on .If the graph of f is a closed subset of  then f is
continuous. |
| e. | If f :is
uniformly continuous then f is bounded. |
, for 
there is
such that
and E is uncountable
and Lebesgue measurable then 
.
, 
,where 
, and 
,as 
, If >
, then 
. 
is
differentiable at almost every 
and 
for
almost all 
Then
there exists a constant c such that 
for almost all 
and 
. Prove that 
for almost all
be a
measure space,
and 
be given. 
such that 
, whenever
and 
such that
and 
.