Question
Find an $M$ or $N$ corresponding to $\varepsilon=0.1$ for each limit at infinity.$$\lim _{x \rightarrow \infty} \frac{e^{x}+x}{e^{x}-x^{2}}=1$$
Step 1
In other words, we want to find an $M$ or $N$ such that $$ \left|\frac{e^x + x}{e^x - x^2} - 1\right| < 0.1. $$ Show more…
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