Please solve on paper so I can follow along

V + 2 3. Given the function q - g(v) = V2 4- 2 (@) Use the limit theorems to find lim g, A 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 X - 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 yas x - 4. 5. 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? 6. On the bade if the remake of the