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Question Number 195013 by horsebrand11 last updated on 22/Jul/23

      lim_(x→3)  (((2((√6)−(√(2x)) +(√(6−2x))))/( (√(36−4x^2 )))) )

limx3(2(62x+62x)364x2)

Answered by cortano12 last updated on 22/Jul/23

    = lim_(x→3)  ((2(((√(6−2x))/( (√6) +(√(2x)))) +1 ))/( (√(6+2x))))       =   determinant ((((2/( (√(12)))) = (1/3)(√3))))

=limx32(62x6+2x+1)6+2x=212=133

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