Question

solve by fouries series
f(x)=2x-1,0≤x≤2​

Answer 1

Answer:

A function

f

(

x

)

is said to have period

P

if

f

(

x

+

P

)

=

f

(

x

)

for all

x

.

Let the function

f

(

x

)

has period

2

π

.

In this case, it is enough to consider behavior of the function on the interval

[

−

π

,

π

]

.

Suppose that the function

f

(

x

)

with period

2

π

is absolutely integrable on

[

−

π

,

π

]

so that the following so-called Dirichlet integral is finite:

π∫π|f(x)|x<∞;

Suppose also that the function f(x)

is a single valued, piecewise continuous (must have a finite number of jump discontinuities), and piecewise monotonic (must have a finite number of maxima and minima).

Step-by-step explanation:

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