What is mean by Even function and Odd function, explain by example, Identify the given function, explain the nature of the given function, If f(x) be a function of period 2n such that, -π<00 f(x) = {x, 0

Q: For x² +nr+1, n = N (the set of natural numbers), 2sin(x²-1)-sin 2(x²-1), sin(x²-1)+sin 2(x²-1)" the…

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Q: The Fourier series of the function is given by f(x) ~ co- where CO = Cn = and f(x) = bn. = = =0 n=…

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Q: Find the Fourier series for the function X, 0x <L f(x) = f(x+2L) = f(x). 2L-x, L<x ≤ 2L' Use this…

A: Let's solve each part of the problem step-by-step.  I have solved each part of the question.I HOPE…

Q: (2-x,0<x<2 f(x) = {²0₁2<x<4 Periode = 4

A: The given function is                     f(x)=2-x, 0&lt;x&lt;20, 2≤x&lt;4    Period = 4

Q: Fourier series and Dirich let condition.

A: It is given that the function f(x)=sinax We have to prove that sin ax=2sin aππsin x12-a2-2sin…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.