How can I solve these questions?

[V ucd7f7ty7yf]

1- 0/1+0/02+0/003+0/0004+...

(This is an infinite set of numbers)

2- 1-½+¼-⅛+(⅛÷2)-...

(This is an infinite set of numbers)

 

[Deleted member 4993]

1- 0/1+0/02+0/003+0/0004+...

(This is an infinite set of numbers)

2- 1-½+¼-⅛+(⅛÷2)-...

(This is an infinite set of numbers)

Is 0/02 = 0/2.......... and then 0/2 = 0 ?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

 

[JeffM]

Have you studied infinite series?

Have you studied limits?

Is 0/0004 supposed to represent [imath]\dfrac{0}{4}[/imath]?

 

[Harry_the_cat]

For the second one, do you know anything about geometric series?

 

[Dr.Peterson]

1- 0/1+0/02+0/003+0/0004+...

(This is an infinite set of numbers)

2- 1-½+¼-⅛+(⅛÷2)-...

(This is an infinite set of numbers)

I suspect you meant 1- 0.1+0.02-0.003+0.0004+... .

If so, try using the standard trick for solving geometric series.