HSC Commerce 12th Board ExamMaharashtra State Board
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Solution for Find K, If F(X) = Log ( 1 + 3 X ) 5 X for X ≠ 0 = K for X = 0 is Continuous at X = 0. - HSC Commerce 12th Board Exam - Mathematics and Statistics

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Question

Find k, if f(x) =`log (1+3x)/(5x) "for" x≠0` 

                 =  `k  "for" x=0` 

is continuous at x = 0. 

Solution

`Lim_(x→0)[log(1+3x)/(5x)]` 

=`Lim_(x→0)[(3x-(3x)^2/2+(3x)^3/3-.........)/(5x)]` 

=`Lim_(x→0)[3/5-(9x)/10+9/5x^2..........]` 

=`3/5` 

∵ f is continuous at x=0 

∴ `Lim_(x→0) f(x)=f(0)⇒ k=3/5`

 

  Is there an error in this question or solution?

APPEARS IN

 2017-2018 (March) (with solutions)
Question 2.1.1 | 3.00 marks
Solution Find K, If F(X) = Log ( 1 + 3 X ) 5 X for X ≠ 0 = K for X = 0 is Continuous at X = 0. Concept: Continuous Function of Point.
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