If the sequence converges, find its limit. Compute the first six terms of the sequent the sequence converges, find its limit. Prove that if {sn} converges to L and L > 0, then there exist a number N such that sn > 0 for n > N. True or False? In Exercises 119-124, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If {an} converges to 3 and {bn} converges to 2, then {an + bn} converges to 5. If {an} converges, then .If n > 1, then n! = n(n - 1)!. If (an} converges, then {an/n} converges to 0. If {an} converges to 0 and {bn} is bounded, then {an, bn}converges to 0. If {an) diverges and {bn} diverges, then {an + bn} diverges. Fibonacci Sequence In a study of the progeny of rabbits. Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence is defined recursively as an+2 = an + an+1, where a1 = 1 and a2 = 1. Write the first 12 terms of the sequence. Write the first 10 terms of the sequence defined by