Can I break this limit in individual terms? – math.stackexchange.com

$$\lim_{x\to \infty} {\frac{x}{x^2+1} +\frac{x}{x^2+2} + ... + \frac{x}{x^2+x} }$$ It seems obvious that the result is zero for each term but in order to break the limit into its individual parts ...

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