By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A. 1+6+ 2+ 3+ 4+ + + B. 1 + 2 + ( )² + ( 1 )³ + (²)¹ + · = · · · · + ( ² ) ¹²₁ + · · · =

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Q: 1) Make a change of variable so that the following series begins with k = 5. n i=2 (−1)²+1 (i-1)²

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Q: Use the first three non-zero terms of the Maclaurin series of to calculate (1-t) -3

A: claim- to find first three non zero terms of maclaurin series of 11-t3 to calculate 34-3 as we know…

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A: see my solution

Q: Use the first three non-zero terms of the Maclaurin series of 1 to calculate (1-t)³ -3 3

A: We firstly find the first three non-zero terms of the Maclaurin series of  11-t3, We know that, A…