related to sequence

Question

related to sequence

anonymous · Answer

attachment

anonymous · Answer

can u give me the definition of lim  in ur txt book ? ( just type it )

anonymous · Answer

i think its limit?

anonymous · Answer

or its the limit when n goes to infinite ?
since a,b both sequence ?

anonymous · Answer

but its a closed interval..

anonymous · Answer

well i think so but sim confuesd with the closed interval ,
i mean I have closed interval
so when a,b goes to infinte make no sense to me

anonymous · Answer

lol we have the same doubts

anonymous · Answer

ok i have in idea...
there two solution of lim bn
case 1 :-
$|\lim b_n|$=infinite  then we wont know about the nature of$ a_n$
case 2:-
|lim $b_n$| = X, such that x$\in R$

anonymous · Answer

ok?

anonymous · Answer

thinking ....

dan815 · Answer

looks like a fun course you are taking

dan815 · Answer

how come sets theory and stuff is so important for CS? is it because of the data structures involved in CS

anonymous · Answer

it is totaly irrelevant,but we hv to study because its in course

anonymous · Answer

$I_1=[a_1,b_1]$
$I_2=[a_2,b_2]$
$I_3=[a_3,b_3]$
..

so lets take $ I_2 $ for example
 $I_2=I_3+I_4+I_5+...$

anonymous · Answer

@BSwan  can you check the definition of nested sequence n see if this can be solved by it?

anonymous · Answer

yeah lol check this link from ganeshie8 http://www.math.usu.edu/~rheal/math4200/class_material/Sequences/Nested_Intervals_Theorem.pdf

anonymous · Answer

yep found it

anonymous · Answer

thx to @ganeshie8 :)

ganeshie8 · Answer

lol thnks to @google i never took real analysis before

anonymous · Answer

hehe i never googled a problem xD
unless i was so depressed X-(

dan815 · Answer

lol swan!

anonymous · Answer

dan :)