Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
Answer:
-9
Step-by-step explanation:
We are told in the question that:
Xavier climbs 9 feet up into an apple tree.
The direction symbol or sign for upwards movement = Positive (+) sign
If Xavier would climb back down , he will climb back down 9 feet as well
The direction symbol or sign for downwards movement = Negative (-) sign
Since we know the distance (or how far) he has to climb by downwards is also 9 feet, therefore, the integer that represents the direction and how far he will climb to get back down to the ground is -9
Answer:
8r
Step-by-step explanation:
