find the power series representation for the function ) = 1 2 + x .

Find the power series representation for the function f ( x ) = 4 x 3 2 - x . => V or III or IV or II or I..

Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function..

Find the power series representation for the function f ( x ) = 1 3 x - 1 about the point x = 1 and determine the interval of convergence. => III or I or II or IV..

Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axi..

(i) We can plot the ordered pairs in A x B by taking the first element along the X-axis and the second element along the Y-axis in the Cartesian plane. This diagram is called Lattice. Each ordered pair is marked by a point called the LATTICE point. A x B = {(3, 2..

Each member of this series differs from the previous one by an increment of -CH 2 - group. Thus, the methane family is a homologous series that can be characterised by the formula C n H 2n+2 . All members of this group can be prepared by t..

The graphical representation of data makes the reading more interesting, less time-consuming and easily understandable. The disadvantage of graphical presentation is that it lacks details and is less accurate. In our study, we have the following graphs: 1. Bar Graphs ..

A function f : A B is said to be an even function if f(x) = f(-x) for all x A. The domain and range of f depends on the definition of the function. Examples of even function are y = cosx, y = x 2 , y = secx A..

Function - Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements..

Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary part along the y-axis. This representation of..