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:
see below
Step-by-step explanation:
1) Slope from P to Q is F/E
2) Definition of slope
3) F'/E' = F/E
Answer:
<h3><u>x = 18</u></h3>
Explanation:
- Line E B C Needs To Equal 180°
3x + 5 + 3x + 4 + 3x + 9 = 180
- Simplify Both Sides Of The Equation
(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
- Subtract 18 From Both Sides
9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
<h3><u>x = 18</u></h3>
