#2015_26 Learning Calculus!

Calculus Level 2

\[\large \lim _{ n\rightarrow \infty }{ \frac { { n }^{ 1999 } }{ { n }^{ x }-{ (n-1) }^{ x } } =\frac { 1 }{ 2000 } }, \quad x= \, ? \]

Clarification: Take \(x\) as a constant.

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