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happiness
Solve for (x,y)∈R^2
{ ((x^2 +y^2 =2x+3y+1)),((x^4 +y^4 =4x^2 +9y^2 +12xy+2x^2 y^2 +18)) :}
let f∈L^1 (R)
let u_n = ∫_a ^b f(t)sin(nt)dt , v_n =∫_a ^b ((f(t))/t)sin(nt)
1)Prove that lim_(n→∞) u_n =0
2)Deduce in term of a,b,f(0) the value of lim_(n→∞) v_n