Question

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Let f(x) = x2 + 3x + 5. a) Find all derivatives of f(x). b) Find the value of f(n) (2) for all derivatives. c). Find the Taylor's series for f(x) centered at c = 2.

Answer 1

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F140= fizit fla) (H-2) + +7 (4-2) + (21-212 [ 3 + 3 (2) +1 es ots (1-2) ? +764-2) + 5 + 6 + 8 (21-2)*+ 74-2) + 13. taylar o expension of fire flhi a 17 + 764-2) + (4-2)2 Ay