how should I approach the following limit?
$$\lim_{n\to \infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$$
Answer
A start: Multiply by $\dfrac{\sqrt{n+1}+\sqrt{n}}{\sqrt{n+1}+\sqrt{n}}$.
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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