Question: Step by step pls MATH 2414 - Homework Quiz Sections 9.2 - 9.9 dn't hnitd To receive credit for the homework quiz, please work the

Step by step pls

MATH 2414 - Homework Quiz Sections 9.2 - 9.9 dn't hnitd To receive credit for the homework quiz, please work the problems on college (or wide) ruled notebook paper (NOT ON THIS PAPER). All work must be shown neatly, and in an orderly fashion. Determine the convergence or divergence of the following problems (check for conditional convergence on alternatin series, if needed). IDENTIFY THE TEST USED and justify your answers. n+1 n 1+n 00 1. 2 . 3. n=4 n-2 n=1 n2" n = (2n+ 1)" Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) 00 4. (-1)"n!(x-2)" (7x) 2n M8 5 . 6. (-1)" (x-6)" n=0 n=0 n! n=1 n Find a power series for the function, centered at c. 7. f ( x) = 1 C =0 1+3x 8. f (x) : c=1 6-X

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