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99 Percentile Qs Bank for JEE MainMathematicsLimits

_ x 0 ( x 10^x-x 1- x ) is equal to

Options

  1. A10
  2. B2 10
  3. C3 10
  4. D4 10

Correct answer

B. 2 10

Step-by-step solution

_ x 0 x (10^x-1 ) 1- x Using L-Hospital's rule, = _ x 0 x 10^x 10+10^x-1 x Again using L-Hospital's rule, aligned & = _ x 0 x 10^x( 10)^2+10^x 10+10^x 10 x & = 0+ 10+ 10 0 =2 10 aligned

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