Please solve on paper so I can follow along

Chapter 6 Comparative Statics and the Concept of Derivative 147 2. Taking the set of all finite real numbers as the domain of the function q - g(v) . 5v - 2: (a) Find the limit of q as v tends to N (a finite real number). (b) Check whether this limit is equal to g(N). (c) Check whether the function is continuous at A and continuous in its domain. 3. Given the function q - g(v) =; V+2 v2 + 2' (@) Use the limit theorems to find lim q, N being a finite real number. (b) Check whether this limit is equal to g(N). (c) Check the continuity of the function g(v) at N and in its domain (-co, co). 4. Given y = f (x) = - x2 - 9x + 20 * - 4 (a) Is it possible to apply the quotient limit theorem to find the limit of this function as X - 4? (b) is this function continuous at x => 4? Why? (c) Find a function which, for x * 4, is equivalent to the given function, and obtain from the equivalent function the limit of y as x - 4. S. In the rational function in Example 2, the numerator is evenly divisible by the denomi- nator, and the quotient is v + 1. Can we for that reason replace that function outright by q = v+1? Why or why not