I want to visualize these functions in the complex plane:
$$f_n(z)=\exp(z) - \sum_{k=0}^{n} \frac{z^k}{k!}$$
I tried this code, but it gives me an error.
z,k = var('z,k')
@interact
def _(n=(1..8)):
complex_plot(exp(z)- sum(z^k/factorial(k), k, 0, n), (-5, 5), (-5, 5))
I am new to Sage (I previously used Mathematica). I wrote the code based on this example: http://wiki.sagemath.org/interact/ . How can I fix that?
EDIT: I would also like to know why doesn't this work either
def myPlot(n):
complex_plot(exp(z)- sum(z^k/factorial(k), k, 0, n), (-5, 5), (-5, 5))
Then I type
myPlot(2)
in the notebook, but I get nothing. However, if I type:
complex_plot(exp(z)- sum(z^k/factorial(k), k, 0, 2), (-5, 5), (-5, 5))
I get the correct plot.
EDIT 2:
I tried
myPlot = lambda n: complex_plot(exp(z)- sum(z^k/factorial(k), k, 0, n), (-5, 5), (-5, 5))
And now I can evaluate it. However, I still can't use @Interact.
This doesn't make sense to me.