How to make MuPAD know a limit is zero?
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When I type in the following code, MuPAD returns a complicated answer that includes the limit as x approaches negative infinity. How do I get it to realize that the quantity it returns labelled sigma3 is zero. I thought that by defining Ws and rho as real and positive it would realize this.
Thanks
reset();
assume(U, Type::Real and Type::Positive);
assume(Wc, Type::Real and Type::Positive);
assume(Ws, Type::Real and Type::Positive);
assume(`ρ`, Type::Real and Type::Positive);
A:=cos(2*U)+((Wc)/U)*sin(2*U);
B:=exp((Ws/`ρ`)*(x+(2*`ρ`)));
C:=cos(Q*((x/`ρ`)+2));
S:=sin(Q*((x/`ρ`)+2));
F:=U*sin(2*U)-Wc*cos(2*U);
G:=A*B*(A*C+((1/Q)*F*S));
R:=int(G, x=-infinity..(-2*`ρ`),IgnoreAnalyticConstraints);
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