Can you solve using any of math or coding?

Question

The task is to solve that:
1/2! + 2/3! + 3/4! + ... + 99/100!

Answer 1

₉₉
∑(n/(n+1)!) = ~1
ⁿ=¹

Answer 2

If higher limit n -> Infinity , answer is 1

Answer 3

https://code.sololearn.com/crseCUXTAfqF/#py

Answer 4

@Alex, @Vijay can you give any explanations?

Answer 5

It's a quite big topic. Too much to fully explain.
But here are some informations:
The expression you posted is a sequence. Sequences can either converge or diverge. A converging sequence approaches a limit (in this case the limit it 1).
In order to get the limit you first need to test if the sequence is convergent or divergent. There are multiple ways to test it. Take a look here: https://en.m.wikipedia.org/wiki/Convergence_tests
To get the limit you need to find the sum of the sequence for n->∞.
Here is the Wikipedia article about this topic:
https://en.m.wikipedia.org/wiki/Limit_of_a_sequence

Answer 6

@Alex thank you! Can you send me the picture of your task solved paper?