Bumblebee

 13 Determine Minimum Value. 13 Prime number between $n$ and $n!+1$ 12 What is $\frac{x^{10} + x^8 + x^2 + 1}{x^{10} + x^6 + x^4 + 1}$ given $x^2 + x - 1 = 0$? 11 What are the theorems in mathematics which can be proved using completely different ideas? 10 Find the value of : $\lim_{x \to \infty}( \sqrt{4x^2+5x} - \sqrt{4x^2+x})$

### Reputation (9,779)

 +10 Cauchy Sequence that Does Not Converge +5 One point compactification of the punctured plane $\Bbb{R}^2\setminus\{(0,0)\}$ +10 Is there any proof for this formula $\lim_{n \to ∞} \prod_{k=1}^n \left (1+\dfrac {kx}{n^2} \right) =e^{x⁄2}$ +5 A book on the basics of von Neumann-Bernays-Gödel set theory?

### Questions (119)

 42 What are the theorems in mathematics which can be proved using completely different ideas? 41 What is the geometrical difference between continuity and uniform continuity? 40 How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$? 12 Functional Equation $f(x+y)-f(x-y)=2f'(x)f'(y)$ 10 Fréchet L-Spaces

### Tags (230)

 112 calculus × 71 49 real-analysis × 65 82 algebra-precalculus × 63 40 trigonometry × 28 72 sequences-and-series × 71 35 number-theory × 25 64 elementary-number-theory × 43 33 complex-analysis × 55 59 limits × 40 33 induction × 15

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