{"paper":{"id":"site-4932","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":2,"source_label":"Matematyka · Zbiory zadań (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-4932/zad/5338","paper_id":"site-4932","number":"5338","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","text":"Ciąg (a_n) jest określony wzorem a_n = 3n^2+7n-5 / 11-5n+5n^2 dla każdej liczby naturalnej n≥1. Granica tego ciągu jest równa A. 3; B. 1/5; C. 3/5; D. -5/11.","answer":null,"answer_text":null,"solution":null,"image":"img/site/4932/zad-5338.svg","solution_image":"img/site/4932/rozw-5338.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-4932/zad/7222","paper_id":"site-4932","number":"7222","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","text":"Oblicz granicę ciągu lim_{n→∞} 3n^2-5n+2/(8n+7)(n+4) Zakoduj trzy pierwsze cyfry po przecinku rozwinięcia dziesiętnego obliczonej granicy. [rysunek]","answer":null,"answer_text":null,"solution":null,"image":"img/site/4932/zad-7222.svg","solution_image":"img/site/4932/rozw-7222.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}