2.1.46 Calculation of Limits
Condition: calculate the limits: a) \ (\ lim _ {n \ rightarrow \ infty} \ frac {(n-1)! (N+2)!} {(N+3) \ infty} \ frac {1+2+2^{2}+\ cdots+2^{2 n}} {2^{2 n+3}} \) c) \ (\ ritarrow \ Infty} \ frac {3^{n+1}+5^{n+2}} {\ sqrt {6 \ cdot 5^{2 n+1} +3}} \).
Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.