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**Playthious** Which ones are convergent and which are divergent and what are the limits of the convergent ones?

a) lim (as n goes to infinity) of (-1)^n sin(n)/n

b) lim (as n goes to infinity) of (-1)^n sin(1/n)

c) lim (as n goes to infinity) of n^(1/n) (L'Hospital's Rule)

d) lim (as n goes to infinity) a(sub)n where a1 = sqrt(2) , a2 = sqrt(2sqrt(2)), a3 = sqrt(2sqrt(2sqrt2))) , an+1 = sqrt(2an)

i think a is divergent becaue of the alternator and b converges to 0 because of squeeze theorem. Is this right? And how do i find the other two?