7 Compute $\lim_{n \to \infty}(1+\frac{n-1}{n+1})^{\frac{n+1}{n-1}}$ 6 Does a mathematical proof in $\mathbb{C}$ imply a proof in the $\mathbb{R}$? 5 Why does expanding $\lim_{p \rightarrow 0}\frac{1-p-(1-p)^3}{1-(1-p)^3}$ give a different limit from just substituting? 4 Proving that $\sin(z+w) = \sin(w) \cos(z) + \sin(z) \cos(w)$ using complex exponentials 4 Prove that $\mathbb{N}$ has no limit points

Reputation (1,756)

 +10 How to check if a set of vectors is a basis +10 Prove that $\mathbb{N}$ has no limit points +10 Compute $\lim_{n \to \infty}(1+\frac{n-1}{n+1})^{\frac{n+1}{n-1}}$ +15 Pi product + set builder notation - how to read

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 3 When does a polygon gives the maximum area? 2 Fixed point of Riemann Zeta function 1 How the function $f_n$ is a measurable function? [closed] 0 Prove the existence of two prime numbers whose product is less that a given integer s.t. the following quantity is a perfect square 0 Counting numbers of Fixed point of Zeta function by Argument Principle

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 21 real-analysis × 19 10 complex-analysis × 8 21 calculus × 15 8 general-topology × 9 16 limits × 9 8 continuity × 6 11 complex-numbers × 4 8 proof-writing × 4 10 trigonometry × 8 6 linear-algebra × 9

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 Mathematics 1,756 rep 2519