Home
Class 12
MATHS
The value of f(0) , so that the function...

The value of f(0) , so that the function
`f(x) = (sqrt(a^(2)-ax+x^(3))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x))`
become continuous for all x, is given by

A

`asqrt(a)`

B

`sqrt(a)`

C

`-sqrt(a)`

D

`-asqrt(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

The value of f(0), so that the function f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x)) becomes continuous for all x, given by a^((3)/(2))( b) a^((1)/(2))(c)-a^((1)/(2))(d)-a^((3)/(2))

If f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x)) is continuous at x=0 then f(0)

The value of lim_(xrarr0)(sqrt(a^2-ax+x^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x)-sqrt (a-x)) , is

The range of the function f(x) = sqrt(2-x)+sqrt( 1+x)

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

At x=0 , then function f(x)=3sqrt2x is

The value of f(0) so that the function f(x) = (sqrt(1+x)-(1+x)^(1/3))/(x) becomes continuous is equal to