Which of the following statements is true about the sequence (an)? a) If (an) is a bounded sequence, then it is convergent. b) If (an) is a monoton...

Which of the following statements is true about the sequence (an)?
a) If (an) is a bounded sequence, then it is convergent.
b) If (an) is a monotonic sequence, then it is convergent.
c) If (an) is a convergent sequence, then it is bounded.
d) If (an) is a sequence of positive terms and lim (an+1/an) = L < 1, then (an) → 0.
e) All of the above statements are true.

a) If (an) is a bounded sequence, then it is convergent.
b) If (an) is a monotonic sequence, then it is convergent.
c) If (an) is a convergent sequence, then it is bounded.
d) If (an) is a sequence of positive terms and lim (an+1/an) = L < 1, then (an) → 0.
e) All of the above statements are true.