I am trying to approximate the following function, $$f(x)=\frac{\sum^{N}_{c=1}\gamma_c x^{c+k-2}-\sum^{N}_{c=1}\beta_c x^{c-1}}{\sum^{N}_{c=1}\alpha_c x^{c}}$$ where $\alpha_c$'s, $\beta_c$'s and $\gamma_c$'s are some positive constants. $k$ is a positive integer. I wonder if such function can be tamed and approximated?
2026-03-28 10:03:28.1774692208
Dealing with a polynomial sum
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