The interpretation for the equilibrium condition for the loans is much the same as in. the deposit market condition. As the market becomes more fragmented with a larger number. of banks (n ), the demand of loans per banks becomes smaller under competition.
Objectives: In this tutorial, we finally obtain the formal defintion of limits and relate this definition to our previous definition. We verify this definition for a few examples. First, we find algebraically the delta corresponding to a specific epsilon and then find algebraically the delta for an arbitrary epsilon.efinition. The limit of f(x) as x approaches a is L. if and only if, given, there exists such that 0 d implies that |f(x) - L| e. 1  Discussion of how to obtain the above formal definition of limits from our previous definition of limits.
The. \(\Gamma \) is defined as follows \[ \Gamma(k) = \int_0^\infty x^{k-1} e^{-x} \, dx, \quad k \in (0, \infty) \] The function is well defined, that is, the integral converges for any \(k \gt 0\).On the other hand, the integral diverges to \(\infty \) for \(k \le 0 \).uppose that the lifetime of a device (in hours) has the gamma distribution with shape parameter \(k = 4\) and scale parameter \(b = 100\). 1  Find the probability that the device will last more than 300 hours. 2  Find the mean and standard deviation of the lifetime.