kill(all)$

van=facebook.com/LearningCalculus$

f(x):=(x*sqrt(2))^x - 2^sqrt(2);

float(f(0.00001));

f(sqrt(2));

float(f(1.5));

float(f(2));

m(x,n):=sum((-1)^i/(x^i),i,0,n);

float(m(sqrt(2),100));

float(2-sqrt(2));