// Numbas version: exam_results_page_options
{"name": "ma206_Convergence", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "ma206_Convergence", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"distractors": ["", "", "", "", "", ""], "matrix": ["0", 0, "2", 0, 0, 0], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Finner at $L = \\frac 1 3$ - og konkluderer at rekka konvergerer.</p>", "<p>Finner at $L = \\frac 1 3$ - og konkluderer at rekka divergerer.</p>", "<p>Finner at $L = 0$ - og konkluderer at rekka konvergerer.</p>", "<p>Finner at $L = 0$ - og konkluderer at rekka divergerer.</p>", "<p>Finner at $L = $'over-alle-genser' - og konkluderer at rekka konvergerer.</p>", "<p>Finner at $L = $'over-alle-genser' - og konkluderer at rekka divergerer.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": "2", "marks": 0, "scripts": {}, "displayColumns": 0, "showCorrectAnswer": false, "type": "1_n_2", "minMarks": 0}], "statement": "<p>Forholdstesten brukes til &aring; sjekke&nbsp;om rekka&nbsp;$\\displaystyle{\\sum_{n=1}^{\\infty}a_n =&nbsp;\\sum_{n=1}^{\\infty}\\frac{n! \\cdot n^2}{(3 n)!}}$ konvergerer.</p>\n<p>N&aring;r du har gjennomf&oslash;rt dr&oslash;ftingen $\\displaystyle{\\lim_{n \\rightarrow \\infty}|\\frac{a_{n+1}}{a_n}|}$ finner du grenseverdien $L$&nbsp;- og konkluderer at</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"notes": "", "description": "", "licence": null}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Tore Gaupseth", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/28/"}]}]}], "contributors": [{"name": "Tore Gaupseth", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/28/"}]}