Considering the Inada (1963) condition, Solow’s essential assumption is that as the marginal product of capital or labour approaches infinity, capital or labour goes to zero, and vice versa. Baumol (1986) was the first to introduce the idea of beta (β) convergence, which denotes a ...
How is 1/0 equivalent to infinity? Explain algebraically how these two equations are equivalent. \dfrac{360}{180-x}=y and \dfrac{-360+180y}{x}=y What is an equivalent algebraic expression for the composition \tan(\arcsin(x)).
Saying x^n = exp(n log x) for x > 0 and 0^n = 0 for n > 0 is a matter of “extending” the definition of x^n. So these are not proofs, derivations, or theorems. Reference: 108.243.42.146:8080/get/pdf/1039 pp. 130-131 That...
Question: What does the zero exponent rule mean? Exponent Rules: There are rules when performing operations involving exponents of the same base. Only the coefficients of the terms with the same exponents and base are added and subtracted. When multiplying terms with the same base, the product ...
Find Limit_{x to positive infinity} x^5 / square root x^10 + 5. If y = \tan^{-1}\left(\cos(2u)\right), \enspace u = \cos^{-1}(t), \enspace t = \ln(x), then \dfrac{dy}{dx} when x = \sqrt e is . . . ...
Find the limit of the following sequence as n to infinity. a_n = {ln (4 n^4 + 1)} / {ln (5 n + 2)} Find the limit of the following sequence as n to infinity. a_n = {(n - 2)!} / {n!} Find the limit of the following sequence as n to ...
For a long panel data model that does not include exogenous explanatory variables, the bias approaches 0 as T approaches infinity. Thus, we considered the Least Square Dummy Variable (LSDV) model estimator to be an appropriate empirical strategy for our study. 3.2. Testing the mechanism Even ...
A sequence converges pointwise if for every input, the sequence of outputs approaches a fixed value as the input approaches infinity. In other words, the terms of the sequence get closer and closer to a fixed value as the input increases. How can you prove that the typewriter sequence does ...
The easiest way to explain it would be for someone to find the decimal value above and below 0, but to do that it continues on infinite, so you could say that 0 actually is infinite and if you take infinity and take it to the power of infinity then you can say that 0^0=infinity,...
Why does any number raised to the 0 power equal 1? if y to the power x = x to the power y, prove that dy/dx=y/x(y-xlogy/x-ylogx) What does it mean that an equation goes to infinity? Why/how does the exponent of 1/2 mean the square root? Explain. ...