Using the Taylor series expansion u(x + h) = u(x) th(x) t) gia) tan u(x +...

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Using the Taylor series expansion u(x + h) = u(x) thư(x) tươ) gia) tan u(x + h) - u(x - h) 2h u(x) = sin(x) + cos(TX) show that the central finite difference formula for the first derivative can be written as +0(h²). Consider the function u(x) = Let x = i h with h = 0.25.. [4 marks] Using the Taylor series expansion u(x + h) = u(x) thư(x) tươ) gia) tan u(x + h) - u(x - h) 2h u(x) = sin(x) + cos(TX) show that the central finite difference formula for the first derivative can be written as +0(h²). Consider the function u(x) = Let x = i h with h = 0.25.. [4 marks]

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