How do you do these questions?

Absolutely convergent

Divergent

Absolutely convergent

Step-by-step explanation:

│sin(4n) / 4ⁿ│is less than or equal to 1 / 4ⁿ for all n ≥ 1.  1 / 4ⁿ is a geometric series with r = 1/4.  Therefore, 1 / 4ⁿ converges, so aₙ is absolutely convergent.

(3 − cos(6n)) / (n^⅔ − 2) is greater than 1/n for all n ≥ 3.  1/n diverges, so the series also diverges.

2 + cos(n) is at most 3, so the ratio (2 + cos(n)) / √n is between 0 and 1 for all n greater than 9.  So there exists a number r between 0 and 1 such that (2 + cos(n)) / √n ≤ r for n ≥ 9.  Since this is a geometric series that converges, the series also converges.

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

yes, i heard the "tea" with james charles and a few other beauty gurus. i believe charles is in the wrong and i believe tati the most. tati didn't lie about james charles but may have exaggerated because he never sexually assaulted anyone. jeffery star is a really good friend to all and out anyone that needs it, until you mess with one of his "sisters"! james will never rise over jeffery or tati, he's way to sensitive and dramatic to rise about them. i think all three of them will make up and be friends again because they always get over it.

i hope this with your