Granične vrijednosti (copy).pdf - Granične vrijednosti/limes niza zadaci 1 Da li su sljedeći nizovi konvergentni ili divergentni Objasniti a b c d e

Granične vrijednosti (copy).pdf - Granične...

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Granične vrijednosti/limes niza - zadaci 1. Da li su sljedeći nizovi konvergentni ili divergentni? Objasniti! a) b) c) d) e) f) g) 2. Odrediti sljedeće limese: a) b) c) ( ) d) e) Rješenje: a) b) c) d) e) 3. Odrediti sljedeće limese : a) b) c) Rješenje: 0 0
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a) b) c) 4. Odrediti graničnu vrijednost sljedećeg niza: Rješenje: Uočimo da je Stoga imamo: 5. Odrediti sljedeće limese: a) b) c) d) e) Rješenje: a) b) c) d) e) 0 0 e
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6. Odrediti sljedeće limese: a) b) Rješenje: a) b) 7. Odrediti limes sljedećih nizova: a) , b) c) d) Rješenje: a) Uočimo da je
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Unformatted text preview: parcijalna suma geometrijskog niza . Pošto je , znamo da opći član ovog niza teži ka 0, tj. . Međutim, parcijalna suma ne teži 0! Sjetimo se formule za -tu parcijalnu sumu geometrijskog niza čiji je prvi član i količnik : je -va parcijalna suma niza čiji je prvi član i količnik je , pa dobijamo: b) c) 1 d) 8. Odrediti monotonost sljedećih nizova: a) b) c) d) e) f) 9. Dokazati da su sljedeći nizovi ograničeni – odrediti njihovu donju i gornju granicu: a) b)...
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  • Fall '19
  • David J. Malan

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