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Find all natural numbers \(n\) that satisfy condition n&x = n ? Where x is a Any constant Positive Integer.

n&x = n

A bear hides either in Bush \(A\) with a probability of \(\frac{9}{25}\) or behind Bush \(B\) with a probability of \(\frac{16}{25}\). A hunter has 10 bullets ...

\[\large \lim _{ n\rightarrow \infty }{ \frac { \sum _{ k=1 }^{ n }{ { k }^{ 2 }( n+1-k) } }{ \sum _{ k=1 }^{ n }{ { k }^{ 3 } } } } =\frac { a }{ b }\]

If the equation above ...

If \(a>0\) and

\[\large \lim _{ x\rightarrow 0 }{ \frac { { x }^{ 3 } }{( bx-\sin( x)) \sqrt { a+x } } } =1\]

Find \(a+b\).

This Question is Part of My Mathematics Set

\[\large {\lim _{ x\rightarrow 1 }{ \left( \frac { 2018 }{ 1-{ x }^{ 2018 } } -\frac { 1998 }{ 1-{ x }^{ 1998 } } \right) } } =\ ?\]

This question is part of My Mathematics Set.

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