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limit-tan

limit((5-2*tan(4*X))/...

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limit

f(x):=((x^2-4)/(x-2));

limit(f(x),x,2);

Calculate

limit-sqrt

f(x) := sqrt((x+8*x^2...

a = (sqrt(2))/2;

limit (f, x, a);

Calculate

limit

y: e^(1/x);

limit(y,x,0,minus);

Calculate

limit

(x^(1/3)- x^(2/3))/(x...

...

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limit-sin

limit(sin(2*x)/(3*x),...

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limit

f:1/1-x*2;

limit(f,x,0,plus);

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limit

limit((3-x)^(5/x-2),x...

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limit-log-sqrt

limit((log(x)-log(a))...

Calculate

limit-minf

f:(4*x^2-1)/(2*x+1);

limit(f,x,minf);

Calculate

limit

Run Example
(%i1)f:(1+In(1/x))^x;
                                     1      x
(%o1)                            (In(-) + 1)
                                     x
(%i2) limit(f,x,0,plus);
                                         1      x
(%o2)                        limit   (In(-) + 1)
                             x -> 0+     x
(%i3) 
Run Example
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
f:[(3^x-x^3)^x-3];
                                  x    3 x
(%o1)                          [(3  - x )  - 3]
(%i2) limit(f,x,3,plus);
(%o2)                                [- 3]
(%i3) limit (f,x,inf);
(%o3)                                [inf]
(%i4) 

Related Help

Help for Limit