Sequences and seriesSequencesFor the following sequences determine whether they converge or diverge.If possible alsodetermine the limits for those among the sequences that converge.1.n-1n2-1Answer.Rewrite as1-1nn-1n.Asngoes to infinity the numerator goes to 1 and the denominator to +∞. We concludethat the limit of this sequence is 0. Formally this can be written aslimn→∞n-1n2-1= limn→∞1-1nn-1n=1-limn→∞1nlimn→∞(n-1n)=1limn→∞n= 0.2.2--12n
3.sin1n

5.2 + cos(n)n
7.fn+1fn,wherefndenotes thenth Fibonacci number.

8. Turn the following infinite expression into a sequence.s2 +r2 +q2 +√2 +...If this sequence converges, what is its limit?
9. Turn the following infinite expression into two different sequences...+s2 +r2 +q2 +√2If these sequences converge, what are their limits?