2 ПРАКТИКАЛЫҚ САБАҚ. САНДЫҚ ТІЗБЕКТЕР МЕН ФУНКЦИЯНЫҢ ШЕКТЕРІ. МОНОТОНДЫ ТІЗБЕКТЕР Е САНЫ.
1. Мысал. nжағдайда 3, тізбегінің шегі 2 санына тең екенін көрсету керек.
Шешуі: Тізбектің n -ші мүшесі . Бұдан, . оң санын алдын ала белгілейік.
теңсіздігі орындалатындай n санын үлкен етіп таңдап аламыз. Ол үшін деп алу жеткілікті. Онда . Ендеше, . ▲
Есептер
1. Бірсарынды тізбектің шегі туралы теореманы пайдаланып, мына тізбектертің шегінің бар екенін көрсет.
№1.
№2. ![](data:image/png;base64,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)
№3.
№4. ![](data:image/png;base64,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)
№5.
№6. ![](data:image/png;base64,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)
№7.
2. тізбектің шегінің тең болатынын дәлелде.
3. -ге тең. тізбек болатынын дєлелде.
4. тізбектіњ шегінің тең екенін дєлелде.
3-4 ПРАКТИКАЛЫҚ САБАҚТАР. ФУНКЦИЯНЫҢ ШЕГІ. ТАМАША ШЕКТЕР. ФУНКЦИЯНЫҢ ҮЗІЛІССІЗДІГІ.
1. Мысал. шекті тап.
Шешуі. Мұнда түріндегі анықталмағандық.
Бөлшектің алымын да, бөлімін де -ке бөлеміз:
= = .
Достарыңызбен бөлісу: |