query: Inverse Trigonometric Functions and Summation of Series
positive_passages.docid: 150200
positive_passages.text: finding $\lim_{n\rightarrow\infty}\sum_{r=1}^{n}\arctan\left(\frac{2r}{1-r^2+r^4}\right)$
negative_passages.docid: 56805
negative_passages.text: Why isn't the inverse of the function $x\mapsto x+\sin(x)$ expressible in terms of "the functions one finds on a calculator"?
negative_passages.docid: 140221
negative_passages.text: Product of two power series
negative_passages.docid: 47572
negative_passages.text: Evaluate $ \sum_{n=1}^{\infty} \frac{\sin \ n}{ n } $ using the fourier series
negative_passages.docid: 101908
negative_passages.text: Solving summations of form $\sum_{i=0}^{\infty} i^kx^i$ without Differentiation and Integration
negative_passages.docid: 95739
negative_passages.text: Sum of tangent functions where arguments are in specific arithmetic series
negative_passages.docid: 147005
negative_passages.text: Prove two identities relating to series
negative_passages.docid: 113713
negative_passages.text: Closed formula for the sum of the following series
negative_passages.docid: 155951
negative_passages.text: Harmonic series sum approximation
negative_passages.docid: 73593
negative_passages.text: Why is the range of inverse trigonometric functions defined in this way?
negative_passages.docid: 41862
negative_passages.text: Asymptotic behavior of a trigonometric series
negative_passages.docid: 87976
negative_passages.text: How to solve these series?
negative_passages.docid: 114031
negative_passages.text: Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
negative_passages.docid: 70018
negative_passages.text: Sum of series (telescoping)
negative_passages.docid: 86894
negative_passages.text: Finding solution of a Trigonometric equation
negative_passages.docid: 34049
negative_passages.text: How can I understand and prove the "sum and difference formulas" in trigonometry?
negative_passages.docid: 118715
negative_passages.text: Inverse Laplace transform of $\frac{1}{s\sinh{c\sqrt{s}}}$