习题课数列极限(cn}收敛.由单调有界定理注其中{c,的极限称为欧拉常数，即limc. = c = 0.5772156649..n>0由此1+Inn+c+&.-2nlime. = 0n>00数学分析习题课高等教育出版社
Эங߅Ӣݤ ॑࣍ਃӟݾঈ ݤӦ߃ୡ Эங ⬅ऩ䇗᳝⬠ᅮ⧚ ^ ` ᬊᬯ. n c ݊Ё^ ` cn ⱘᵕ䰤⿄Ўᢝᐌ᭄ˈे lim . 0 5772156649 n n c c of ⬅ℸ 1 1 1 2 ln , n c n n H lim 0 n n H of ⊼
习题课数列极限因为limc, = limC2n = cn>00n→00故O = lim2nn+2n+n->0In 2.0数学分析习题课高等教育出版社
Эங߅Ӣݤ ॑࣍ਃӟݾঈ ݤӦ߃ୡ Эங Ў 2 lim lim n n n n c cc of of ᬙ 2 0 lim n n n c c of 11 1 2 12 2 lim ln . nof nn n § · ¨ ¸ © ¹ 11 1 2 12 2 lim ln , nof nn n § · ¨ ¸ © ¹ l 1 2