Answer:
280.006
Step-by-step explanation:
34,234 can also be written as 34,234.000
34,514.006 - 34,234
= 34,514.006 - 34,234.000
= 280.006
The square root of 141 =

This is because the two factors are 3 and 47, which both aren't perfect squares. You cannot take anything out.
If you want it simplified (like with a calculator) it would be:
Step-by-step explanation:
lim(n→∞) |aₙ₊₁ / aₙ|
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) / (4ⁿ / n!) |
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) × (n! / 4ⁿ) |
lim(n→∞) | 4 / (n+1) |
0
Since the limit is less than 1, the series converges.