3(x +2)" In(n) 2. Consider the power series What is the centre a of this power series? What is n=2 the nth coefficient, cn? ΟPTIONS: (i) а — 2, сп %3D In(n) for n 2 2. (iii) a = 3, cn = m for n > 2. In(n) (ii) a = 0, cn = 3 for n > 2. (iv) a = -2, cn = nồ for n > 2.

Q: 7. Find the Taylor and Taurent's series which represent the function (2²–1)|(z+2) (z+3) in the…

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Q: (a) Find a power series expansion for f(a) e. Then, use the first 4 nonzero terms in your power…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

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Q: 15. (a) Write down the sum of the geometric series z + z? + z³ + · . .+ z". (b) Hence, by putting z…

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A: According to question given that∑n=1∞(-10)n-114n

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A: To Determine :-  The power series for f  z  = 13 - z  is

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A: cosx=1-x22!+x44!-...   (i)∑n=0∞-1nπn+132n+12n!=π3-π2332!+π3354!-...=π31-π322!+π344!-...using…

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