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"url": "https://numbas.mathcentre.ac.uk/api/questions/11772/?format=api",
"name": "Find limit of a sequence",
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"full_name": "Newcastle University Mathematics and Statistics",
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"notes": "<p><strong>4/07/2012:</strong></p>\n <p><strong><br /></strong>Changed inequality sign in prompt from $\\lt$ to $\\leq$ and as a consequence changed them in the Advice. Answer remains the same.</p>\n <p><strong>21/07/2012:</strong></p>\n <p>Added description.</p>\n <p>Needs better tags to describe second part.</p>\n <p>Also need to redefine the variables so that a and b and a and c are coprime - results in a better and less clumsy Advice solution. This is the \"changes needed\" tag. Issue raised as having defined a new function chcop using the gcd function, the editor did not register it in the variables list - although the question compiled and ran.</p>\n <p>(Contd.) The variables a,b,c,d have been redefined. Also noticed that the MCQ had two correct answers on rare occasions. This has been corrected.</p>\n <p>Got rid of the changes needed tag.</p>\n <p><strong>27/7/2012:</strong></p>\n <p>Added tags.</p>\n <p><strong>24/12/2012:</strong></p>\n <p>Checked calculation, OK. Added tested1 tag.</p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Let $x_n=\\frac{an+b}{cn+d},\\;\\;n=1,\\;2\\ldots$. Find $\\lim_{x \\to\\infty} x_n=L$ and find least $N$ such that $|x_n-L| \\le 10^{-r},\\;n \\geq N,\\;r \\in \\{2,\\;3,\\;4\\}$.</p>"
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