Näherungsformeln
| Funktion | 1. Näherung | 2. Näherung |
| 1/(1+x) | 1-x | 1-x+x^2 |
| 1/(1+x)^2 | 1-2x | 1-2x+3x^2 |
| 1/(1+x)^3 | 1-3x | 1-3x+6x2 |
| sqrt(1+x) | 1+x/2 | 1+(x/2)+(x^2/8) |
| (1+x)^(1/3) | 1+x/3 | 1+(x/3)-(x^2)/9 |
| (1+x)^(1/4) | 1+(x/4) | 1+(x/4)-(3*x^2/32) |
| 1/((1+x)^(1/3)) | 1-(x/3) | 1-(x/3)+(2*x^2/9) |
| (1+x)/(1-x) | 1+2x | 1+2x+2x^2 |
| ((1+x)/(1-x))^2 | 1+4x | 1+4x+8x^2 |
| ((1+x)/(1-x))^(1/2) | 1+x | 1+x+(x^2/2) |
| sin(x) | x-(x^3/6) | |
| sin^2(x) | 0 | x^2 |
| cos(x) | 1 | 1-x^2/2 |
| cos^2(x) | 1 | 1-x^2 |
| tan(x) | x | x+x^3/3 |
| arcsin(x) | x | x+(x^3/6) |
| arccos(x) | (pi/2)-x | (pi/2)-x-(x^3/6) |
| arctan(x) | x | x-(x^3/3) |
| arccot(x) | (pi/2)-x | (pi/2)-x+x^3/3 |
| e^x | 1+x | 1+x+(x^2/2) |
| ln(1+x) | x | x-(x^2/2) |
| lg(1+x) | 0,43429*x | 0,43429*x-0,21715*x^2 |
| sinh(x) | x | x+(x^3/6) |
| cosh(x) | 1 | 1+(x^2/2) |
| tanh(x) | x | x-x^3/3 |
| arsinh(x) | x | x-(x^3/6) |
| artanh(x) | x | x+(x^3/3) |
