query: Taylor series representation function?
positive_passages.docid: 144877
positive_passages.text: Taylor series representation as an infinite sum
negative_passages.docid: 126762
negative_passages.text: taylor series of $\ln(1+x)$?
negative_passages.docid: 122169
negative_passages.text: Prove $\sin(\pi/2)=1$ using Taylor series
negative_passages.docid: 113016
negative_passages.text: Remainder form of Taylor polynomial at $x_0$: $ \frac{1}{n!}f^{(n)}(x_0 +\theta(x-x_0))(x-x_0)^n$ with $\theta \to \frac{1}{n+1}$ as $ x \to x_0$
negative_passages.docid: 36424
negative_passages.text: What is the Taylor series of $\ln \frac{1-x^2}{1+x^2}$?
negative_passages.docid: 95905
negative_passages.text: Taylor series expansion and the radius of convergence
negative_passages.docid: 125792
negative_passages.text: How are the Taylor Series derived?
negative_passages.docid: 128540
negative_passages.text: Formal power series coefficient multiplication
negative_passages.docid: 95739
negative_passages.text: Sum of tangent functions where arguments are in specific arithmetic series
negative_passages.docid: 92627
negative_passages.text: How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?
negative_passages.docid: 63985
negative_passages.text: Evaluating series using operator
negative_passages.docid: 158889
negative_passages.text: Taylor series of $[\log(1-z)]^2 $
negative_passages.docid: 6465
negative_passages.text: How to prove periodicity of $\sin(x)$ or $\cos(x)$ starting from the Taylor series expansion?
negative_passages.docid: 143302
negative_passages.text: Taylor series remainder term to yield $\ln4$ with error terms less than $2^{-10}$
negative_passages.docid: 55853
negative_passages.text: Proof using Taylor's theorem
negative_passages.docid: 140399
negative_passages.text: Taylor series for $\ln(\frac{1-z^2}{1+z^3})$
negative_passages.docid: 42192
negative_passages.text: Bernoulli numbers, taylor series expansion of tan x