求下列极限：
(1)limx→0(1/x)∫0x(sint/t)dt
(2)limx→0[∫0x(et+et-2)dt]/(1-cosx)
【正确答案】：(1)limx→0[∫x0(sint/t)dt/x] =limx→0[-∫x0(sint/t)dt/x] =-limx→0(sinx/x) =-1 (2)limx→0[∫0x(et+e-t-2)dt]/(1-cosx) =limx→0[(ex-e-x-2)/sinx] =limx→0(ex-e-x)/cosx =0
