> isolate(sqrt(n+1)-sqrt(n)=1/(2*sqrt(n+un)),un);

> limit(un=1/(2*sqrt(n+1)-sqrt(n))^2-n,n=infinity);

> restart;
> un=product(2^(k/2^k),k=1..n);
> 
> 
> 
> 
> 

> un;

> limit(product(2^(k/2^k),k=1..n),n=infinity);

> limit(int(1/(1+x^2),0..n),n=infinity);
> 

> restart;
> limit(sum(1/(1+k),k=1..n),n=infinity);
Error, `=` unexpected

> seq(fibo(n),n=0..10); 

> seq(fibo(n),n=0..20); 

> f:=x->sqrt(x-1);

> g:=(x,y)->x^2-y^2;
> 

> a:=isolate(sqrt(1+x)=1+x/(2*sqrt(1+t*x)),x);

> simplify(a);

> limit(a,t=0);
> 

> f:=x->(5*sin(x))/x;
> 

> plot(f,axes=none);
> 

> g(x):=x->(x^2-1)/(x*ln(x));
> 

> plot(g(x),x=0..10,discont=true);

> limit((x^2-1)/(x*ln(x))-x,x=infinity);

> limit((x^2-1)/(x*ln(x)),x=infinity);

> limit((x^2-1)/(x*ln(x)),x=1);

> limit((x^2-1)/(x*ln(x)),x=0);

> undefined;

> 
> 
> 
> 
>