exam Maths Puzzle Numerical Ability

1. prove that:
nē-1000n-> infinity as n-> infinity

2. use standard results to show that:
n^2-3n+1/n+5 ->infinity as n->infinity

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exam Other Question

Find the x- intercepts
x^2+3x-4
Here is yet another one I got a wrong answer to...I got 6.

(2 + SQRT<2>)(2 + SQRT<2>)

Thanks!