Can you please help me with the limits (it is very important)?

I'm assuming  we  want to know the limit as  n  approaches infinity....

a)  Limit  is  just  the  ratio of coefficients  on  the n^2 terms  =   1/  2

b)  Limit  of  this is  0  since the  degree of the polynomial  in the  numerator is  less than the degree of the polynomial in the  denominator

c)  a_n a_n    =  (n^2   -3n + 1) ^2  / (2n^2 + 1)^2   =  (n^4 - 6n^3 +11n^2 -6n + 1)  / ( 4n^4 + 4n^2 + 1)

Limit  = 1/4

The addition of  bn  doesn't  change  this  since its limit is  0  as we approach infinity