Test each following for convergence ∑n=1 to [infinity](\sqrt(n^3 +5*n -1)/(n^2 - sin(n^3))

2. the sequence { (n^2 /(3*n +1 ))sin ((\pi[/tex])/(3*n ) } for all n≥1

pi =3.14.

Which shows the image of rectangle abcd after the rotation (x, y) → (–y, x)?

In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.