For comparison with other CAS choose from: Axiom Macsyma Maple Mathematica Reduce
lim(sin(x)/x,x,0)
SIN (x)
lim ---------
x->0 x
1
lim((3 sin(pi x) - sin(3 pi x))/x^3,x,0)
3 SIN ( x) - SIN (3 x)
lim ---------------------------
x->0 3
x
3
4
lim((2x+5)/(3x-2),x,inf)
2 x + 5
lim ---------
x-> 3 x - 2
2
---
3