# Limesi

limit((x^2+x-2)/(x^2-1),x,1);

limit((x^2+x-2)/(x^2-1),x,-1);

limit(sin(1/x),x,0);

limit(1/x^2,x,0);

limit(-1/x^2,x,0);

limit(1/x,x,0);

limit((x^2+x-2)/(x^2-1),x,infinity);

limit((sqrt(x)-1)/(x-1),x,1);

limit(((1+x)^(1/3)-1)/((1+x)^(1/5)-1),x,0);

limit(sin(x)/x,x,0);

limit((1-cos(x))/x,x,0);

limit((exp(x)-1)/x,x,0);

limit((1+1/x)^x,x,infinity);

limit(asin(1-2*x)/(x-1/2),x,1/2);

limit((1+2/x)^x,x,infinity);

limit((exp(x)-1)/sin(x), x, 0);

limit(abs(x)/x,x,0);

limit((x-2)*exp(x)/(x^2-x-2),x,2);

limit((x-2)*exp(x)/(x^2-x-2),x,-1);

limit(log(cos(x))/(x^2*cos(x)),x,0);