Prove that 3 Squareroot 2n^5 - 2n^34 + 23 elementof theta (n^2.5) using the definition of theta(n^2.5) as functions f(n) such that c_ n^2.5 lessthanorequalto f(n) lessthanorequalto c_2 n^2.5 for constants c_1, c_2 greaterthanorequalto 0 for all large n. Let f(n) = 7 Squareroot 7n^2 + 8n(log_4 (3n + 2))^3 and g(n) = 6n log_5 (6n^3 + n^2) times log_9 (6n + 13). Prove that f(n) elementof Ohm(g(n)) using lim_n rightarrow infinity f(n)/g(n)