判别[tex=6.071x2.714]qN8fOJEmxCPwE8y3sw7Scz4MJW1Y13SfVyzp6zMFXBep5vrWgpgvr5EfeiUZwELA[/tex]的敛散性，如果收敛，计算反常积分的值.

钻石的密度、折射率、色散率分别是（） A: 3.52；2.417；0.044 B: 3.25；0.044；2.417 C: 3.52；2.147；0.044 D: 3.52；2.714；0.044

若级数[tex=2.714x2.714]ySadpvq7BrEZCGdcnD6+aevQSiUapl3qI6D/1lvgJVQ=[/tex]收敛，则下列级数中收敛的是[input=type:blank,size:6][/input] . 未知类型：{'options': ['[tex=6.071x2.714]ySadpvq7BrEZCGdcnD6+aUSs8NjqGM34Pj0L/aWjPf772dbvk2QiSp7dpZ7/MAB/[/tex]', '[tex=6.071x2.714]ySadpvq7BrEZCGdcnD6+aUSs8NjqGM34Pj0L/aWjPf5gD082w4ii+e+OqGCOiJxW[/tex]', '[tex=4.143x2.714]ySadpvq7BrEZCGdcnD6+aU4qHJeokQihJ889W6SoMTMNic2Q0WF4HG183yVB6bRm[/tex]', '[tex=6.143x2.714]ySadpvq7BrEZCGdcnD6+aSBPXJbZEuHno1IyUm3MXawCF8vRFcwHVVo/h7fl237cWbwsu4EidIs3G9PvuqJk8A==[/tex]'], 'type': 102}

判断广义积分的敛散性，如果收敛，计算广义积分的值[tex=6.071x2.714]qN8fOJEmxCPwE8y3sw7Sc7ynoVEuVi1A4b/OZzUGCkuvRC/QfEx9rCkf8lMfFNW5[/tex].

设[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在[tex=6.0x1.357]jCcQXg2Xc0otX1PZx/i2SQ==[/tex]上连续,证明:若[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]为奇函数,则[tex=6.071x2.714]dZ1ScyWj84mTcoQJz8k2XbF+QVNJUUdRpdrYxpoEEt8=[/tex]

[tex=6.071x2.714]3DhjEizS2QPxtmVWqsGq/i91b5H56b3ydQclS/hbHFgvlFGq+9JfxYrUdl+TsQZ5[/tex]，其中[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]为[tex=2.929x1.357]fWrWe7XZe98Qwt70VkwTFHxnPMHCXU3S1f/i9KRJuok=[/tex]的任何复数，[tex=4.429x1.357]uccgfxLlas4TcmjZLr0ovA==[/tex]为正向

设[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在[tex=2.857x1.357]SbOsirSEIIi7xiyeZ0ac2g==[/tex]上连续，根据定积分的几何意义说明：当[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]为奇函数时，[tex=6.071x2.714]dZ1ScyWj84mTcoQJz8k2Xaz/YyzzoOfx4MijCReTb/s=[/tex].

计算下列积分的值. [tex=0.714x1.0]YiLkHgl7MlxE+QjUplQUKA==[/tex]为由[tex=3.071x1.143]fMZAWLN92hfeusjbot5s5g==[/tex]和[tex=3.0x1.214]E7sPOleL/46hoHosj10jYQ==[/tex]所围矩形边界正向：[tex=6.071x2.714]FE2emU4+moBspjp3OOFOxzdA51HVnSQd7zAo4SfkZ3pC9EWTyUydAWQ/hsalqP/aNkvMJHk0WuIgRkHM8wkbNQ==[/tex].（见图3.20）[img=304x252]178c8d399bbe2cf.png[/img]

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)