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# Sol_Less7 - 7 lim x 0 x sin x 0 1 cos x 0 sin x 1 = = lim =...

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ליגרת 7 הילוי בוקמרש לטיפול ללכ 1 . 3 2 0 0 0 sin 0 1 cos 0 sin 1 lim lim lim 0 3 0 6 6 x x x x x x x x x x - - = = = = = 2 . 2 1 1 1 ln 0 1 lim lim 1 0 2 2 x x x x x x = = = - 3 . 2 2 2 0 0 0 2 2 0 0 1 cos tan sin 0 1 cos cos lim lim lim sin 0 1 cos cos (1 cos ) (1 cos )(1 cos ) (1 cos ) lim lim 2 cos (1 cos ) cos x x x x x x x x x x x x x x x x x x x x x - - - = = = = - - - - + + = == = - 4 . 2 2 1 .cos lnsin 0 sin lim lim 0 cos 0 sin x x x x x x x π π = = = - 5 . [ ] 0 0 0 0 0 1 1 sin 0 1 cos 0 lim lim lim sin sin 0 sin cos 0 sin sin lim lim 0 cos cos sin 2cos sin x x x x x x x x x x x x x x x x x x x x x x x x - - - = ∞ - ∞ = = = = = ÷ ÷ ÷ + = = = ÷ ÷ + - - 6 . 2 2 cos lnsin 0 sin lim lim 0 2 0 2 x x x x x x π π π = = = - - 1

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ליגרת 7 הילוי בוקמרש 7 . 1 1 1 1 1 1 1 1 lim lim lim lim 1 ln n n n n x x x x x x n x x x x n n x - - →+∞ →+∞ →+∞ →+∞ × = = = × × = × = +∞ 8 . ( 29 ( 29 ( 29 ( 29 2 2 1 1 1 1 1 ln 1 ln 1 ln 1 ln 0 lim lim lim lim 3 1 3 3 ln 3 ln 0 ln 1 ln 3 1 1 1 1 1 lim 1 3 3 3 1 x x x x x x x x x x x x x x x x x x x x x
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