Exercices sur les limites : Exemples

Indétermination [(0/0)]

l=Limite[(2x^2+7x-4)/(2x^2-7x+3),x,1/2];
Sol[l]

l=Limite[((Sqrt[2x-1])-3)/(x^2-3x-10),x,5];
Sol[l]

Signe de l'infini - Indétermination [(k/0)]

l=Limite[(2x-3)/(x+1),x,-1];
Sol[l]

l=Limite[(x^2+x+3)/(x^2-5x+6),x,3];
Sol[l]

l=Limite[(Sqrt[x^2-2x])/(x+2),x,-2];
Sol[l]

l=Limite[Sqrt[x+1]/(3-x),x,3];
Sol[l]

Indétermination [(∞/∞)]

l=Limite[(2x-3)/(x+1),x,∞];
Sol[l]

l=Limite[(3-4x)/(x^2+3x+1),x,-∞];
Sol[l]

l=Limite[(x^2-5x)/(3x-2),x,-∞];
Sol[l]

l=Limite[Sqrt[(x^2+3x+1)]/(2x-3),x,-∞];
Sol[l]

l=Limite[Sqrt[(x^2+3x+1)]-x,x,-∞];
Sol[l]

l=Limite[Sqrt[(x^2-2x+5)]+x,x,-∞];
Detail[l]