Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
Answer:
240 cm², A = 300 cm², and 540 cm²
Step-by-step explanation:
1) The area of a parallelogram is A = bh, so:
A = (20)(12)
A = 240 cm²
2) Similarly, the area of a rectangle is A = bh, so:
A = (15)(20)
A = 300 cm²
3) The composite area is the sum of both the rectangle's area and the parallelogram's area, so:
240 cm² + A = 300 cm² = 540 cm²
2n = 8 1/2
N = 4 1/4 (4.25)