11、lim n→∞ [ 1 + 1/n + 1/n^2 ) = 1 + 0 - 0 = 1;12、积分上限是 3,下限是 1,被积函数是lnx ;13、∫( 1,4 ) dx = [x]( 1,4 ) = [ 4 - 1 ] = 3;∫( -1,2 ) x^2dx = [x^3/3]( -1,2 ) = [ 2^3/3 - (-1)^3/3 ] = 3;14、cosα = -√[ 1 - (3/5)^2 ] = -4/5;tanα = (3/5)/(-4/5) = -3/4;15、⑴、limx→2 ( x^2 - 4 )/( x - 2 )= lim x→2 ( x + 2 )( x - 2 )/( x - 2 )= lim x→2 ( x + 2 )= 2 + 2= 4;⑵、lim x→0 ( 2sinx/x ) + 1= 2[ lim x→0 ( sinx/x ) ] + 1= 2 * 1 + 1= 3;16、⑴、y = e^x + x^2,y' = e^x + 2x;⑵、y = lnx - sinx,y' = 1/x - cosx ;