求下列函数的初值和终值:[tex=10.786x2.786]OQcPYy5sCuredei2SWSnB6VthD9YsSzfaFqBfZ7TlpXq8qkjLDhYqAl7VoYr95dA[/tex]

求下列序列的[tex=0.714x1.0]RRR4SYyCqv01G5bWEEMPdw==[/tex]变换和收敛域[tex=10.786x2.786]5ipjI0CM2ngAbGND1jDprCnYrb2ZYGuD5kw71PZnEvzMqKGVpjeBkbROG9TSAzzE[/tex]

判断下列平面点集中哪些是开集、闭集、有界集、区域？ 并分别指出它们的聚点与界点：[tex=10.786x2.786]yVXsXSr0qy0zLnMue9g7Bx+JCvoUS24f2nST6od5L2QqHwWNYN3aJAIQKMpy5kXLOWHzRqqX0COzDuwAJXQ0Dg==[/tex]

求下列函数的间断点，并说明该间断点的类型，如果是可去间断点，则补充或改变函数定义使之连续.[tex=10.786x2.786]NWkYTxy61H+9dE4axg+37QUp0Qj0dSbfn6zDEF3P93AIMXCmi86afUulWg+21dYcj9sgBwNtGrBrUw52Q6ueJ/GOKnSbozUK0JZrskY+nK0ekGXVfjfqnQn4ePrZrn+9[/tex].

下列关于副反应系数的定义正确的是 未知类型：{'options': ['[tex=10.786x2.786]nzhYuLo6BE2xhvAMpytX4apJ7oCzbchikYARrJQfNw7Av73leUY36mv44jHw2jeR4DrEnwX9DBQzBVjVXwJqnnMTEZn+G2gkbQj0xNp4Hb8Lxxkte2iZBUrZvDVEo5N/y0xHmOG4+LNdK6Yo0wcEdL8JubRjE/aQ19Rcaw9+XYHODa3zR6h38A64unc3Z8jpfeHdjyBg7ZzVwz179WaI3YxmrlVIpK4N45FhAYN+d2U=[/tex]', '[tex=10.929x2.714]AXfbFLoD6dX/q87JnBx/VHk2zOT2IhIw2RkiYmHzlIMl6O1h2DqZUw+nD9rbFiYvnoPCSLmyfVQma/taOs33qE/lYA0sVgmOVpkq3bOp1djf5cNxhoBe4IFKavKLiNs5ZFvyn88ktc2gUmaKBlJCPg==[/tex]', '[tex=9.786x2.786]nzhYuLo6BE2xhvAMpytX4eKWzbynNi1NKnDV9jhqCDuRmEOJug08MCLIWVVzLyl+QKPOKE5Bw78LetbMZi5n2z+Iq7fn6u/EVROfuAvFNk8wP10qX/A9zK6Es80YwDNWKM/gT8AirJ7G6Zsr4KTI2jtsXJS8mEIiw9i2BZYgiHBTeLir1TihGMKVIS+uhp/sAlf+jUa6zi6f0+gbxyROcN19nzytO3EiUMDkRo6mWQU=[/tex]', '[tex=9.786x2.786]nzhYuLo6BE2xhvAMpytX4eKWzbynNi1NKnDV9jhqCDsfRMjnnvArRRaObMYKIy6N1VoEmHabkoZB7jbx7ELFFsDOZ8wieH+3sa3evw5omOz2WBrvixKYL5N/NWN2efTueFJLnTC4wr5OgE2fVlrMm0N/T7zTC7frM1SB5tnRDIi59maya51oG5Y7FsHzoJrV1Xm9TFv+wCrSENHwSOncxtM3Cw8HHt6iet7VVyg2Mbg=[/tex]'], 'type': 102}

下列关于副反应系数的定义正确的是 未知类型：{'options': ['[tex=10.786x2.786]nzhYuLo6BE2xhvAMpytX4apJ7oCzbchikYARrJQfNw7Av73leUY36mv44jHw2jeR4DrEnwX9DBQzBVjVXwJqnnMTEZn+G2gkbQj0xNp4Hb8Lxxkte2iZBUrZvDVEo5N/y0xHmOG4+LNdK6Yo0wcEdL8JubRjE/aQ19Rcaw9+XYHODa3zR6h38A64unc3Z8jpfeHdjyBg7ZzVwz179WaI3YxmrlVIpK4N45FhAYN+d2U=[/tex]', '[tex=10.929x2.714]AXfbFLoD6dX/q87JnBx/VHk2zOT2IhIw2RkiYmHzlIMl6O1h2DqZUw+nD9rbFiYvnoPCSLmyfVQma/taOs33qE/lYA0sVgmOVpkq3bOp1djf5cNxhoBe4IFKavKLiNs5ZFvyn88ktc2gUmaKBlJCPg==[/tex]', '[tex=9.786x2.786]nzhYuLo6BE2xhvAMpytX4eKWzbynNi1NKnDV9jhqCDuRmEOJug08MCLIWVVzLyl+QKPOKE5Bw78LetbMZi5n2z+Iq7fn6u/EVROfuAvFNk8wP10qX/A9zK6Es80YwDNWKM/gT8AirJ7G6Zsr4KTI2jtsXJS8mEIiw9i2BZYgiHBTeLir1TihGMKVIS+uhp/sAlf+jUa6zi6f0+gbxyROcN19nzytO3EiUMDkRo6mWQU=[/tex]', '[tex=9.786x2.786]nzhYuLo6BE2xhvAMpytX4eKWzbynNi1NKnDV9jhqCDsfRMjnnvArRRaObMYKIy6N1VoEmHabkoZB7jbx7ELFFsDOZ8wieH+3sa3evw5omOz2WBrvixKYL5N/NWN2efTueFJLnTC4wr5OgE2fVlrMm0N/T7zTC7frM1SB5tnRDIi59maya51oG5Y7FsHzoJrV1Xm9TFv+wCrSENHwSOncxtM3Cw8HHt6iet7VVyg2Mbg=[/tex]'], 'type': 102}

设[tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]是一个环, [tex=2.0x1.071]oYU6699DPbu9TiKgTE5IEg==[/tex]. 证明 :[tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]对以下二运算[p=align:center][tex=10.786x2.786]c8gX0O6CKBpyqTBZ2fB4Dg4OilMZFIykn6wqx26v/ft2WbzX9YovTjcJWu178wS23+g/vcBeBZVdEiFFwz2fBD3xuQjWLCCeTcojW7TB3v0=[/tex]作成一个环且与原来的环[tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]同构.

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)

以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)