1. Consider the periodic function f(x) that is defined over the interval (-x, 1) as f(-n < x < x) = (x + 2n), where f(x) repeats over the following intervals: ., (-37, –r), (–T, T), (T, 37), ... . (a) Sketch or do a computer plot of the function over the interval (-37, 3T). (b) Why does the Fourier series exist even though the function diverges at x = 0? (c) To what value does the Fourier series converge at x = tn, ±37, ...?

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.