| −2x | 1 | −2x | ||||
= | = | ∑n=0∞ (3x/5)n | ||||
| 5 | 1− 3x/5 | 5 |
| fn(0) | ||
f(x)= ∑ | *xn ; fn(x) −− n −ta pochodna funkcji f(x) .Sumowanie od n=0 do n=∞ | |
| n! |
| 2x | ||
dla funkcji f(x)= | ||
| 3x−5 |
| −10 | −10 | |||
f'(x) = | ; f'(0)= | |||
| (3x−5)2 | 25 |
| 60 | 60 | |||
f''(x)= | ; f''(0)= | |||
| (3x−5)3 | 125 |
| 540 | 540 | |||
f'''(x) = | ;f'''(0)= | |||
| (3x−5)4 | 625 |