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Question

limx0cos ax-cos bxcos cx-cos dx

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Solution

limx0cos ax-cos bxcos cx-cos dx

It is of the form 00.

limx0-2sinax+bx2sinax-bx2-2sincx+dxa2sincx-dx2= limx0sinax+bx2ax+bx×ax+bx2×sinax-bx2ax-bx2×ax-bx2sincx+dx2cx+dx2×cx+dx2×sincx-dx2cx-dx2×cx-dx2=1×limx0ax+bx2ax-bx2cx+dx2cx-dx2= limx0x2 a+ba-bx2 c+dc-d= a2-b2c2-d2

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