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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11903/?format=api",
    "name": "When does a sequence get within $d$ of its limit?",
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        "full_name": "Newcastle University Mathematics and Statistics",
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        "description": "<p>$x_n=\\frac{an^2+b}{cn^2+d}$.&nbsp;Find the least integer $N$ such that $\\left|x_n -\\frac{a}{c}\\right| &lt; 10 ^{-r},\\;n\\geq N$, $2\\leq r \\leq 6$. Determine whether the sequence is increasing, decreasing or neither.</p>"
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