Maharashtra State BoardHSC Arts 11th
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Select the correct answer from the given alternatives: f(x) =(16x-1)(9x-1)(27x-1)(32x-1),for x≠0=k,for x=0 is continuous at x = 0, then ‘k’ = - Mathematics and Statistics

MCQ

Select the correct answer from the given alternatives:

f(x) `{:(= ((16^x - 1)(9^x - 1))/((27^x - 1)(32^x - 1))",", "for"  x ≠ 0),(= "k"",", "for"  x = 0):}` is continuous at x = 0, then ‘k’ =

Options

  • `8/3`

  • `8/15`

  • `-8/15`

  • `20/3`

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Solution

f(x) `{:(= ((16^x - 1)(9^x - 1))/((27^x - 1)(32^x - 1))",", "for"  x ≠ 0),(= "k"",", "for"  x = 0):}` is continuous at x = 0, then ‘k’ = `8/15`

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 8 Continuity
Miscellaneous Exercise 8 | Q I. (6) | Page 176
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