Ubungen in Analysis О Exercices en analyse О T. B2 О
Transcription
Ubungen in Analysis О Exercices en analyse О T. B2 О
1 Übungen in Analysis 3 Exercices en analyse 3 Probl. 1 han i = h sin2 ϕ + cos2 ϕ + 3 n i 4n Probl. 2 han i = h 6 n 3 − 5 n2 + 2 n − 6 + 2 n3 − 4 n + 7 + n82 Probl. 3 han i = h cos2(n) − sin3 (n2 − 4 n + 1) + 8 i n2 − sin(tan(n)) Probl. 4 x2 − 1 =? n→1 x − 1 Probl. 5 x3 − 1 =? n→1 x − 1 Probl. 6 Probl. 7 ; an → ?, 1 n i ; an → ?, ; an → ?, T. B2 3 I / 13 lim an = ? n→∞ lim an = ? n→∞ lim an = ? n→∞ lim lim lim (x2 − x) · n→0 lim ( n→0 sin(x) =? x2 · cos(x) tan(x) + (x − 1) · (x + 1)) = ? x WIR