1. Determine whether each sequence below converges or diverges. If the sequence converges,

find its limit. Carefully show your work!

(a) an = √√71+2n

(b) bn =

(c) cn =

(Inn)³

n

n!

en

3n

(d) dn = (1+2) ³

(e) en =

(f) fn

√3+9n¹

3n² +4

sin 2n

1+√√√n