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Question

limx0 1+3x-1-3xx

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Solution

limx0 1+3x-1-3xx

It is of the form 00.

Rationalising the numerator:

limx01+3x-1-3x 1+3x+1-3xx 1+3x+1-3x=limx0 1+3x-1-3xx1+3x+1-3x=limx0 6xx 1+3x+1-3x=61+1=62=3

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