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The value of f(0), so that f(x)=(sqrt(a^...

The value of `f(0)`, so that `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 is given by

A

`a^(3//2)`

B

`a^(1//2)`

C

`-a^(1//2)`

D

`-a^(3//2)`

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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. If the function f as defined below is continuous at x=0find the values...

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  2. If f(x)=[{:(mx+1,if x le (pi)/(2)),(sinx+n,ifxgt(pi)/(2)):} is contin...

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  3. The value of f(0), so that f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^...

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  4. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

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  5. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

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  6. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

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  7. The following functions are continuous on (0, pi) (a) tan x (b)under...

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  8. If f(x)=xsin1/x ,\ x!=0 , then the value of the function at x=0 , s...

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  9. Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...

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  10. Let f(x) = lim( n to oo) m ( sin x)^(2n) then which of the follow...

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  11. Let f(x) be a function differentiable at x=c. Then underset(x to c)lim...

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  12. If (lim)(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of...

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  13. if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):}

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  14. The function f(x)=|x|+|x-1| is

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  15. For the function f(x)={{:(,|x-3|,x ge 1),(,(x^(2))/(4)-(3x)/(2)+(13)/(...

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  16. Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is contin...

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  17. If 4x+3|y|=5y, then y as a function of x is

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  18. If f(x)=x^3sgn(x), then

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  19. For a real number y, Let [y] denotes the geatest integer less than ...

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  20. If f(x)={{:(,x^(2)sin((1)/(x)),x ne 0),(,0, x=0):}, then

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