Proof for how 0.9999999\cdots=1

Libby Boone

Libby Boone

Answered question

2022-04-22

Proof for how 0.9999999=1

Answer & Explanation

hoppledhsy

hoppledhsy

Beginner2022-04-23Added 13 answers

Step 1
The given number is a geometric series in disguise:
0.999
=9n=110n
=910(11110)
=1
which converges because its ratio is 0.1<1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?