// Numbas version: finer_feedback_settings
{"name": "ma205_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": "ma205_Convergence", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"distractors": ["", "", "", "", "", ""], "matrix": ["0", 0, 0, 0, 0, "2"], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Integralet f&aring;r verdien $2 \\ln 3$ - og rekka divergerer.</p>", "<p>Integralet f&aring;r verdien $2 \\ln 3$ - og rekka konvergerer.</p>", "<p>Integralet f&aring;r verdien $3 \\ln 3$ - og rekka divergerer.</p>", "<p>Integralet f&aring;r verdien $3 \\ln 3$ - og rekka konvergerer.</p>", "<p>Integralet f&aring;r verdien $3 \\ln 2$ - og rekka divergerer.</p>", "<p>Integralet f&aring;r verdien $3 \\ln 2$ - og rekka konvergerer.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": "2", "marks": 0, "scripts": {}, "displayColumns": 0, "showCorrectAnswer": false, "type": "1_n_2", "minMarks": 0}], "statement": "<p>Du bruker integraltesten til &aring; finne ut om rekka&nbsp;$\\displaystyle{\\sum_{n=1}^{\\infty}a_n =&nbsp;\\sum_{n=1}^{\\infty}\\frac{3}{n^2+n}}$ konvergerer.</p>\n<p>Integralet du da m&aring; beregne er her l&oslash;st med generelle integrasjonsgrenser,</p>\n<p>$\\displaystyle{\\int_{a}^{b}\\frac{3}{x^3+x} \\text{d}x= [3 (\\ln(x) -\\ln(x+1))]_a^b}$</p>\n<p>N&aring;r du setter inn aktuelle integrasjonsgrenser og dr&oslash;fter finner du 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/"}], "resources": []}]}], "contributors": [{"name": "Tore Gaupseth", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/28/"}]}