What is the value of the voltage transfer function

Question

For the circuit shown in given figure, the parameters are R₁ = 10 kΩ, R₂ = 10 kΩ, R₃ = 40 kΩ, and C = 10μF.

(a) What is the value of the voltage transfer function V_o/V_i at very low frequencies?

(b) Determine the value of the voltage transfer function at very high frequencies.

(c) Derive the expression for the voltage transfer function T (s) = V_o(s)/V_i(s). Put the expression in the form T (s) = K(1 + sτ_A)/(1 + sτ_B). What are the values of K, τ_A, and τ_B?