# Blatt 7
# Aufgabe 7.1
restart;
limit((n+1)^2/(2*n^2+5), n=infinity);
limit((sinh(sin(x))-sin(sinh(x)))/x^7, x=0);
sum(n*x^n, n=1..infinity, parametric);
f := x*exp(-x^2/2);
solve(diff(f,x)=0,x);
solve(diff(f,x$2)=0,x);
v := int(1/(x^4+2*x^2+4),x=-infinity..infinity);
evalf[20](v);