6. Let f(x)=L - 2x, 0 < x < L. (a) Find the cos series for f(x) with period 2L. (b) Sketch the graph of the function to which the series converges over 3 periods.

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A: Given power series is Noted that here given series is geometric series and converges to Now let…

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A: The function h(x)=xln(1+2x) Here, we have to use the 11-x as the base series to find the power…

Q: #3. Prove that 2 = tan [ = log (T_-_ iz)

A: To Prove:z=tan1ilog1+iz1-iz12.

Q: (-1)*+1gk+2 x' (a) Find a function represented by the power series > k! k=0 (-1)*+1 . 2k+2 3k+2. k!…

A:

Q: rĩ sec² 0 (e) tan 0 do. Vtan 0

A: That's easy. Have a great day!!!

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A:

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A:

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A: according to the given problem, we have

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A:

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Q: 24. Let f be a function such that f'(x) Maclaurin series for f? = sin 9 (A) x - + 10 216 9 X (B) 2x…

A: Step 1:Step 2:

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A: Given f(x)=(2x-1)n5nn

Q: 5. Consider the function f(x) = r tan-(") (a) Find a power series representation for the function.…

A: series and sequences