Wednesday, December 12, 2018

limits - How do I symbolically prove that $lim_{n to infty } (n-n^2)=- infty $?

Intuitively we know that $n^2$ grows faster than $n$, thus the difference tends to negative infinity. But I have trouble proving it symbolically because of the indeterminate form $\infty - \infty$. Is there anyway to do this without resorting to the Epsilon-Delta definition ?

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analysis - Injection, making bijection

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