Question

hey mate here ur question .0.9+0.09+0.009+..........…. to n terms. please answer me fast

Answer 1

Apply the geometric series formula for a=910and r=110 to find that 0.9+0.09+0.009+...=1

Explanation:

The other answer is correct, but to add how applying the geometric series formula would give the result:

For |r|<1 and a≠0 we have ∞∑n=0rn=a1−r

(for a short derivation of this formula, see this answer)

Applying this, as ∣∣∣110∣∣∣<1, we have

0.9+0.09+0.009+...=∞∑n=0910(110)n

=9101−110

=910910

=1

Answer 2

I don't know mate........






sorry