Tính các giới hạn sau: a) \(\lim \frac{{2{n^2} + 6n + 1}}{{8{n^2} + 5}}\); b) \(\lim \frac{{4{n^2} - 3n + 1}}{{3{n^3} + 6{n^2} - 2}}\); c) \(\lim \frac{{\sqrt {4{n^2} - n + 3} }}\); d) \(\lim \left( {4 - \frac{{{2^{n + 1}}}}{{{3^n}}}} \right)\); e) \(\lim \frac{{{{4.5}^n} + {2^{n + 2}}}}{{{{6.5}^n}}}\); g) \(\lim \frac}}}{{{6^n}}}\).

Tính các giới hạn sau:

a) \(\lim \frac{{2{n^2} + 6n + 1}}{{8{n^2} + 5}}\);

b) \(\lim \frac{{4{n^2} - 3n + 1}}{{3{n^3} + 6{n^2} - 2}}\);

c) \(\lim \frac{{\sqrt {4{n^2} - n + 3} }}\);

d) \(\lim \left( {4 - \frac{{{2^{n + 1}}}}{{{3^n}}}} \right)\);

e) \(\lim \frac{{{{4.5}^n} + {2^{n + 2}}}}{{{{6.5}^n}}}\);

g) \(\lim \frac}}}{{{6^n}}}\).