Calculus 2 Limit Homework

Question

Find the limit of the sequence if it converges; otherwise indicate divergence.

1) a_n= 9+9n/4+7n

2) a_n= 8n-6/9+7sqrt(n)

3) a_n= (-1)^n 8/n

4) a_n= tan^-1 n/ cube root (n)

( I kindly would like to ask if you can show me your work since I am trying to find what am I doing wrong.)

Answer 1

1) converges to 9/7

9n/7n = 9/7

2) approaches infinity

3) converges to zero

as denominator approaches infinity

4) angle whose tangent = n/cube root of n = n^3/n = n^2

DNE