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Question

limx3 x-3x-2-4-x

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Solution

limx3x-3x-2-4-x

It is of form 00.

Rationalising the denominator:

limx3x-3x-2+4-xx-2-4-xx-2+4-x

= limx3x-3x-2+4-xx-2-4-x

= limx3x-3x-2+4-x2x-6

= limx3x-3x-2+4-x2x-3

= 3-2+4-32

= 1+12
= 22=1

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