6 極限計算・微分積分

>> reset();

>> limit(n^2-2*n+3, n=infinity);

infinity

>>limit(sqrt(n+1)-sqrt(n), n=infinity);

>> diff(3^x+2*x^3, x);

2 x

6 x + 3 ln(3)

>> diff(x^x, x);

x (ln(x) + 1)

>> int(sin(x)+2*cos(x), x=0..t);

2 sin(t) - cos(t) + 1

>> int(exp(-x)*cos(x), x=0..infinity);

1/2