[Discussion] Solving the Limit Problem
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12-16-2019, 03:02 PM
Post: #1
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[Discussion] Solving the Limit Problem
Nonsense, paste code
Code: limit((∫(∫(sin(t)*atan(1+t),t,0,u^2),u,0,x))/(x^3*((x+1)^(1/3)-1)^2),x,0) Code: "Limit: Max order reached or unable to make series expansion Error: Bad Argument Value" mathematica also calculated for a long time Code: Limit[Integrate[Sin[t]*ArcTan[1 + t], {u, 0, x}, {t, 0, u^2}]/( Surprisingly, the Ti Nspire CX CII CAS is calculated In fact, the hp prime can be calculated, and it needs to be replaced by another method. let f(t)=sin(t)*atan(1+t) Code: series((∫(∫(f(t),t,0,u^2),u,0,x)/(x^3*((x+1)^(1/3)-1)^2)),equal(x,0),1) hp prime get Code: (3*f(0)/x^2)+(2*f(0)/x)+(9/10)*(function_diff(f))(0)-(1/9)*f(0)+((3/5)*(function_diff(f))(0)+(2/27)*f(0))*x+x^2*order_size(x) We find f (0) = 0 and substitute it into the result,Get the limit Code: ((9/10)*∂(sin(t)*atan(1+t),t)|(equal(t,0))) Code: 9*π/40 study hard, improve every day |
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[Discussion] Solving the Limit Problem - yangyongkang - 12-16-2019 03:02 PM
RE: [Discussion] Solving the Limit Problem - yangyongkang - 12-19-2019, 09:08 AM
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