zestawciagi.pdf - ZESTAW Cigi 1 Obliczy granice nastpujcych...

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ZESTAW Ciągi 1. Obliczyć granice następujących ciągów: 1) lim n →∞ ( 4 n 2 + 5 n - 7 - 2 n ) 2) lim n →∞ ( n + 1 - n ) 3) lim n →∞ ( 3 8 n 3 + 4 n 2 - 2 n + 1 - 2 n ) 4) lim n →∞ n 2 + n - n 2 - 1 5) lim n →∞ ( n +1 n +5 ) 2 n 6) lim n →∞ ( 3 n 2 - 2 n +1 3 n 2 + n +1 ) n +3 7) lim n →∞ ( n +1 n - 2 ) n 2 8) lim n →∞ ( n 2 - 4 n +1 n 2 +2 ) n 2 + n 2 9) lim n →∞ 1+ 1 3 + 1 9 + ... + 1 3 n 1+ 3 4 + ... + 3 n 4 n 10) lim n →∞ ( n 4 + 16 - n 2 - 9) 11) lim n →∞ 3 n 2 sin( n !) n +1 12) lim n →∞ 2 n 3 +1 n 3 n - 2 13) lim n →∞ n 2 2 n + 3 n 14) lim n →∞ ( 16 n 2 + 5 n + 4 - 4 n ) 15) lim n →∞ n 5 n + 7 n + cos 2 ( n ) 16) lim n →∞ 2 n 2 +sin( n ) 3 n 2 +( - 1) n 17) lim n →∞ 4 n - 3 n 4 n +5 n 18) lim n →∞ 4 n +1 - 5 n +2 5 n - 4 n 19) lim n →∞ ( 3 n 3 + 5 n + 1 - 3 n 3 + 5 n ) 20) lim n →∞ ( 3 n +1 3 n - 1 ) 2 n +1 21) lim n →∞ n e n + 3 n + π n 22) lim n →∞ n 2 · 3 n + 4 · 7 n 23) lim n →∞ ( n 2 +3 n 2 +1 ) 2 n 2 +5 24) lim n →∞ ( 3 1 - 1 n - 1 ) n 25) lim n →∞ 1+3+5+ ... +(2 n - 1) 2+4+ ... +2 n 26) lim n →∞ 1+4+7+ ... +(3 n - 2) n 2 27) lim n →∞ ln(1+ 1 n ) 1 n 28) lim n →∞ (2 n +1)3 n n (2 n +1) 29) lim n →∞ ( 2 n 2 +1 n 2 +1 ) n 30) lim n →∞ (2 n + 3)(ln(2 n + 4) - ln(2 n + 3)) 31) lim n →∞ log 2 ( n +1) log 3 ( n +1) 32) lim n →∞ 6 n 1 n +2 n +3 n 33) lim n →∞ 2 n 2 - cos 3 n 3 n 2 - 2 n +1 34) lim n →∞ (2 n + 3 n + 7 n ) 1 n 35) lim n →∞ n 2 2 n +1 + 3 n +3 + 5 n +2 36) lim n →∞ 4 3 n - 2 - 7 8 2 n - 5 37) lim n →∞ ( 2 n - 4 n 2 + 9 2 n - 1 ) 38) lim n →∞ 1
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