HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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Solution for if the function f(x)=k+x,for x<1, =4x+3,for x≥1 id continuous at x=1 then k= - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

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Question

if the function

`f(x)=k+x, for x<1`

       `=4x+3, for x>=1`

id continuous at x=1 then k=

(a) 7

(b) 8

(c) 6

(d) -6

Solution

(c)

`f(1)=4(1)+3=7`

`lim_(x->1^-)f(x)=lim_(h->0)h(1-h)=lim_(h->0)k+1-h=k+1`

For the function to be continuous at x 1,

`f(1)=lim_(x->1^-)f(x)`

7 = k + 1

k = 6

 

  Is there an error in this question or solution?

APPEARS IN

 2015-2016 (March) (with solutions)
Question 4.1.1 | 2.00 marks
Solution for question: if the function f(x)=k+x,for x<1, =4x+3,for x≥1 id continuous at x=1 then k= concept: Continuity - Continuity of a Function at a Point. For the courses HSC Science (Electronics), HSC Arts, HSC Science (Computer Science), HSC Science (General)
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