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Give me summarised solution of question 2 

In **Question 2**, you are required to find the **Fourier series** of two functions:

1. **Function \( f(x) \) in the interval \( 0 \leq x \leq 2\pi \)**.
2. **A piecewise function** defined as:
   \[
   f(x) = 
   \begin{cases} 
   t, & -\pi \leq x < 0 \\
   2\pi, & 0 \leq x \leq 2
   \end{cases}
   \]

To summarize, you need to:
1. **Compute the Fourier coefficients** for the given functions.
2. Use standard Fourier series methods, such as determining the **a₀, aₙ,** and **bₙ** terms.
3. Combine these terms to represent the function as a sum of **cosine** and **sine** functions in the series.

Would you like detailed steps for finding the Fourier coefficients or solving the second part?

Find the Fourier series of two functions: 1) Function f(x) in the interval 0 ≤ x ≤ 2π. 2) A piecewise function f(x) defined as: f(x) = {t, -π ≤ x < 0; 2π, 0 ≤ x ≤ 2}.

Solve Fourier series problems by finding the Fourier coefficients for two functions: one in the interval 0 ≤ x ≤ 2π, and another piecewise function. Learn the step-by-step method to compute a₀, aₙ, and bₙ.

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