query: Find the limit of the cosine sequence.
positive_passages.docid: 4644
positive_passages.text: Finding the limit $\lim \limits_{n \to \infty}\ (\cos \frac x 2 \cdot\cos \frac x 4\cdot \cos \frac x 8\cdots \cos \frac x {2^n}) $
negative_passages.docid: 24271
negative_passages.text: Limit of absolute value of sequence
negative_passages.docid: 155353
negative_passages.text: Find the limit of $ a_n =\left(1+\frac{1^2}{n^2}\right)^1\left(1+\frac{2^2}{n^2}\right)^2\cdots \left(1+\frac{n^2}{n^2}\right)^n$
negative_passages.docid: 49460
negative_passages.text: Find the limit of the given function
negative_passages.docid: 90307
negative_passages.text: How to compute the above limit
negative_passages.docid: 69717
negative_passages.text: Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
negative_passages.docid: 79785
negative_passages.text: Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
negative_passages.docid: 5947
negative_passages.text: Limit of a trigonometric rational expression
negative_passages.docid: 79684
negative_passages.text: Finding $\lim \limits_{x \to 0} \frac{1 - \cos x}{x}$, given $\lim \limits_{x \to 0} \frac{\sin x}{x} = 1$
negative_passages.docid: 133244
negative_passages.text: Finding $\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$
negative_passages.docid: 118220
negative_passages.text: Finding limit when limit approches to infinity
negative_passages.docid: 38624
negative_passages.text: Finding a tricky limit
negative_passages.docid: 5167
negative_passages.text: Finding the limit that involves Fourier coefficients,
negative_passages.docid: 49029
negative_passages.text: Find the limit $\lim_{n\rightarrow\infty}\sum_{k=1}^{n}\frac{1}{k+n}$
negative_passages.docid: 135895
negative_passages.text: Proving the bounds of cosine
negative_passages.docid: 112595
negative_passages.text: Prove that the limit of this sequence is $\frac{1}{2}(1 + \sqrt{5})$
negative_passages.docid: 31174
negative_passages.text: Find the limit if it exists of $S_{n+1} = \frac{1}{2}(S_n +\frac{A}{S_n})$