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:
(x - 2) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - 8 x + 12
The factors of 12 that sum to -8 are -2 and -6. So, x^2 - 8 x + 12 = (x - 2) (x - 6):
Answer: (x - 2) (x - 6)
Answer:
Step-by-step explanation:
Let the distance be d
<u>Then the time in travel is</u>
- d/60 one way, d/50 on return
<u>The round trip would take 1/2 hours longer if the average speed was 55 mph</u>
- d/60 + d/50 = 2d/55 + 1/2
- d/60 + d/50 - 2d/55 = 1/2
LCM(60,50,55) = 11*12*5*5 = 3300
- 55d/3300 + 66d/3300 - 120d/3300 = 1/2
- d/3300= 1/2
- d = 1650 miles
Your answer would like 1) -25
