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CBSE Class 11-science Answered

lim x^1/6 - 2 / x^1/3 - 4 x→64  
Asked by dineshchem108 | 08 Aug, 2018, 07:00: PM
answered-by-expert Expert Answer
begin mathsize 18px style limit as straight x rightwards arrow 64 of fraction numerator straight x to the power of begin display style 1 over 6 end style end exponent minus 64 to the power of 1 over 6 end exponent over denominator straight x to the power of begin display style 1 third end style end exponent minus 64 to the power of 1 third end exponent end fraction equals limit as straight x rightwards arrow 64 of fraction numerator begin display style fraction numerator begin display style straight x to the power of 1 over 6 end exponent minus 64 to the power of 1 over 6 end exponent end style over denominator straight x minus 64 end fraction end style over denominator begin display style fraction numerator straight x to the power of begin display style 1 third end style end exponent minus 64 to the power of 1 third end exponent over denominator straight x minus 64 end fraction end style end fraction equals fraction numerator 1 over 6 begin display style begin display style 64 end style to the power of fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction minus 1 end exponent end style over denominator 1 third 64 to the power of 1 third minus 1 end exponent end fraction equals 1 half 64 to the power of fraction numerator negative 1 over denominator 6 end fraction end exponent equals 1 fourth end style
Answered by Arun | 09 Aug, 2018, 11:19: AM

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