Consider the sequence {an} = {n!/nⁿ}

a) Write n! = 1*2*...*n-1*n and nⁿ = n*n *....*n*n to express an as a product of n terms.

b) Show that 0≤ an≤ 1/n and use the Squeeze Theorem to show that the sequence converges.

c) Show that the sequence {cⁿ/n!} converges for c a positive constant.

d) Show that the sequence {nⁿ/((2n)!)} converges.

I don't get any of this help!