Nekonečný geometrický rad - príklady
[{"question":"Vypo\u010d\u00edtaj s\u00fa\u010det radu (ak existuje): 1\/3 + 1\/6 + 1\/12 + 1\/24+ .... , s =","answers":["2\/3","3\/2","21\/2","s\u00fa\u010det neexistuje"],"correct":"2\/3","order":"1"},{"question":"Vypo\u010d\u00edtaj s\u00fa\u010det radu (ak existuje):1\/2 + 1\/3 + 1\/4 + 1\/9 + 1\/8 + 1\/27 .... , s =","answers":["2\/3","3\/2","21\/2","s\u00fa\u010det neexistuje"],"correct":"3\/2","order":"2"},{"question":"Vypo\u010d\u00edtaj s\u00fa\u010det radu (ak existuje):1 + 3\/2 + 9\/4 + 27\/8 + .... , s =","answers":["2\/3","3\/2","21\/2","s\u00fa\u010det neexistuje"],"correct":"s\u00fa\u010det neexistuje","order":"3"},{"question":"Vypo\u010d\u00edtaj s\u00fa\u010det radu (ak existuje):7 + 7\/3 + 7\/9 + 7\/27 + .... , s =","answers":["2\/3","3\/2","21\/2","s\u00fa\u010det neexistuje"],"correct":"21\/2","order":"4"},{"question":"Rad 1\/x - 1\/x2 + 1\/x3 + 1\/x4 + ...,kde q = (-1\/x), je konvergentn\u00fd pr\u00e1ve vtedy, ak","answers":["|-1\/x| < 1","|-1\/x| > 1","|-1\/x| = 1","|-x| < 1"],"correct":"|-1\/x| < 1","order":"5"},{"question":"Zap\u00ed\u0161 v tvare zlomku \u010d\u00edslo 3,012012012012....","answers":["12757\/4843","1013\/990","7361\/9990","1003\/333"],"correct":"1003\/333","order":"6"},{"question":"Zap\u00ed\u0161 v tvare zlomku \u010d\u00edslo 1,023232323...........","answers":["12757\/4843","1013\/990","7361\/9990","1003\/333"],"correct":"1013\/990","order":"7"},{"question":"Zap\u00ed\u0161 v tvare zlomku \u010d\u00edslo 0,7368368368368......","answers":["12757\/4843","1013\/990","7361\/9990","1003\/333"],"correct":"7361\/9990","order":"8"},{"question":"Zap\u00ed\u0161 v tvare zlomku \u010d\u00edslo 2,63411111........","answers":["12757\/4843","1013\/990","7361\/9990","1003\/333"],"correct":"12757\/4843","order":"9"},{"question":"S\u010d\u00edtaj rad: tgx + tg2x + tg3x + ......","answers":["tgx\/(1-tgx)","tgx\/(1+tgx)","tgx\/1-tgx","s\u00fa\u010det neexistuje"],"correct":"tgx\/(1-tgx)","order":"10"}]