For the sequence below, determine whether they converge or not, and find the limit when the sequence converges

a)

a_{n}=4^n/n!

a=n+1/a_{n}=4/n+1 a=n+1 <a=n convergent

b)a_{n}=nsin(1/n)

a_{n}=sin(1/n)/(1/n) =1 convergent

a_{n}=(3/2)^{n}

3/2 >1 divergent