- #1
quietrain
- 655
- 2
i am very confuse how my profs always use taylor expansion in physics which somehow doesn't follow the general equation of
f(x) = f(a) + f'(a)(x-a) + 1/2! f''(a)(x-a)2 and so on...
like for example, what is the taylor expansion of x - kx where k is small
it was given as something like
x - kx f'(x) + (1/2) k2 x2 f''(x) + ...
is this taylor expansion? but there is no 'about which point, i.e, a=? '
i don't even understand how the first term x is gotten. f(a) = x??
please help thank you!
f(x) = f(a) + f'(a)(x-a) + 1/2! f''(a)(x-a)2 and so on...
like for example, what is the taylor expansion of x - kx where k is small
it was given as something like
x - kx f'(x) + (1/2) k2 x2 f''(x) + ...
is this taylor expansion? but there is no 'about which point, i.e, a=? '
i don't even understand how the first term x is gotten. f(a) = x??
please help thank you!