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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11771/?format=api",
    "name": "Determine limit of fractional power sequence",
    "published": true,
    "project": "https://numbas.mathcentre.ac.uk/api/projects/601/?format=api",
    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
        "profile": "https://numbas.mathcentre.ac.uk/accounts/profile/697/?format=api",
        "full_name": "Newcastle University Mathematics and Statistics",
        "pk": 697,
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    "edit": "https://numbas.mathcentre.ac.uk/question/11771/determine-limit-of-fractional-power-sequence/?format=api",
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    "source": "https://numbas.mathcentre.ac.uk/question/11771/determine-limit-of-fractional-power-sequence.exam?format=api",
    "metadata": {
        "notes": "<p><strong>5/07/2012:</strong></p>\n    <p>Added tags.</p>\n    <p>Added explanation in Advice why inequality remains as $\\le$ on taking $\\ln$ of both sides.</p>\n    <p><strong>22/07/2012:</strong></p>\n    <p>Added description.</p>\n    <p>Changed $n \\ge N$ to $n \\geq N$ as otherwise $N-1$ would be be the correct answer not $N$.</p>\n    <p>First two parts are trivial.</p>\n    <p><strong>27/7/2012:</strong></p>\n    <p>Added tags.</p>\n    <p>In the Advice section, moved \\Rightarrow to the beginning of the line instead of the end of the previous line.</p>\n    <p>Question appears to be working correctly.</p>\n    <p><strong>25/12/2012:</strong></p>\n    <p>Checked calculation, OK. Added tested1 tag.</p>\n    <p>Changed all $\\lt$ etc to $\\le$. &nbsp;Also edited the description for this.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>Question on $\\displaystyle{\\lim_{n\\to \\infty} a^{1/n}=1}$. Find least integer $N$ s.t. &nbsp;$\\ \\left |1-\\left(\\frac{1}{c}\\right)^{b/n}\\right| \\le10^{-r},\\;n \\geq N$</p>"
    },
    "status": null,
    "resources": []
}