Consider the function f: R R dcfined by f (x) = x sinh (a) Usc the Maclaurin scrics of exp to find the Maclaurin scries of f. Write your final answer as a sum of non-zero terms using sigma notation. (b) Use the Maclaurin series of f to caleulate f(11)(0).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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V3.
Consider the function f : R R defined by
f (x) = x sinh
(a) Usc the Maclaurin scrics of exp to find the Maclaurin scries of f. Write your final answer as a
sum of non-zero terms using sigma notation.
(b) Use the Maclaurin series of f to caleulate f(11)(0).
Transcribed Image Text:Consider the function f : R R defined by f (x) = x sinh (a) Usc the Maclaurin scrics of exp to find the Maclaurin scries of f. Write your final answer as a sum of non-zero terms using sigma notation. (b) Use the Maclaurin series of f to caleulate f(11)(0).
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