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N i l ai d a r i x → 0 lim ​ x ​ − 7 ​ x − 7 ​ = .....

  1. square root of 7

  2. 3 square root of 7

  3. 2 square root of 7

  4. fraction numerator 1 over denominator 2 square root of 7 end fraction

  5. fraction numerator 1 over denominator square root of 7 end fraction

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Master Teacher

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space limit as x rightwards arrow 0 of fraction numerator x minus 7 over denominator square root of x minus square root of 7 end fraction equals space limit as x rightwards arrow 0 of fraction numerator x minus 7 over denominator square root of x minus square root of 7 end fraction cross times fraction numerator square root of x plus 7 over denominator square root of x plus 7 end fraction  space space space space space space space space space space space space space space space space space space space space space space equals space limit as x rightwards arrow 0 of fraction numerator left parenthesis x minus 7 right parenthesis left parenthesis square root of x plus square root of 7 right parenthesis over denominator x minus square root of 7 end fraction  space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 0 minus 7 right parenthesis left parenthesis square root of 0 plus square root of 7 over denominator 0 minus 7 end fraction  space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis negative 7 right parenthesis left parenthesis square root of 7 right parenthesis over denominator negative 7 end fraction  space space space space space space space space space space space space space space space space space space space space space space equals square root of 7

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