If the sequence converges, find its limit. Compute the first six terms of the se

Question

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

Explanation / Answer

for n->inf the value of a_n->C=constant then we cans say for large value of n->inf a_n->C and also a_(n+1) ->C so a_n-a_(n+1) =0 as for large n->inf both converge to C

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