1. Define the limit of a function by using the concepts ofexistenceandneighborhoods.

2-a)Find:lim(1 - x²)

x11 - x

2-b)Findlim2 + 1

x( x + 1)

1. Find the price elasticity of the following nonlinear demand function:

Q = aP^-b

Where Q is quantity demanded, p is the price of its own.

(Show your work. This means that no work no credit.)

1. .Find the derivative of the quotient of the following U and V functions:

Y = U / V, where U = Xand V = 2X + 3

5. Find (1)the different quotient and derivative when tax rate increases from 15% to 20%and (2) the maximum tax revenuebased on the following quadratic tax revenue function:

R = 200t - 200t²

6. Find (i) the marginal revenue, (ii) the marginal cost, and (iii) marginal profit of the following functions:

TR = 41.5Q - 1.1Q²

TC = 150 + 10Q -0.5Q²+ 0.02Q³