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The function f(x)=4−x24x−x3 is

(A) Discontinuous at only one point

(B) Discontinuous at exactly two points

(C) Discontinuous at exactly three points

(D) None of these

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is an Objective Answer Type Questions as classified in NCERT Exemplar

    Sol:

    G i v e n     t h a t     f ( x ) = 4 − x 2 4 x − x 3 F o r     d i s c o n t i n u o u s     f u n c t i o n ⇒                                     4 x − x 3 = 0 ⇒                             4 ( x − x 2 ) = 0 ⇒     x ( 2 − x ) ( 2 + x ) = 0 ⇒       x = 0 , x = 2 , x = − 2 Hence,  the  given  fuction  is  discontinuous  exactly  at  three  points. H e n c e ,     t h e     c o r r e c t     o p t i o n     i s     ( c )

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A
alok kumar singh

Kindly go through the solution 

 

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