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limit

Run Example
(%i1)plot2d(sin(1-cos(x^2))/x,[x,-10,10]);
plotplot2d(sin(1-cos(x^2))/x,[x,-10,10]);f1(x):=sin(1-cos(x^2))/x;
                                                 2
                                    sin(1 - cos(x ))
(%o2)                      f1(x) := ----------------
                                           x
(%i3) limit(f1(x),x,0);
(%o3)                                  0
(%i4) limit(sin(x),x,4.3);
(%o4)                         - 0.91616593674945
(%i5) limit((x^2-16)/((x-2)*(x+3)-6),x,-2);
                                       6
(%o5)                                  -
                                       5
(%i6) limit((3-u)/(sqrt(u+1)-sqrt(5*u-11)),u,3);
(%o6)                                  1
(%i7) 
Run Example
limit(sin(t)/t,t,o);
                                    sin(o)
(%o1)                               ------
                                      o
(%i2) 
Run Example
limit((243*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)           +(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^6           -18*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^5           -9*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^4           +270*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^3           -486*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^2)           *(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^(-i-1)           /(-10206*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)            +14*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^6            -18*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^5            -810*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^4            +1620*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^3            +3645*(3*sqrt(5)/4-3^(3/2)*sqrt(5-sqrt(5))/2^(3/2)-9/4)^2+5832),i,inf);
(%o1)                                  0
(%i2) 

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