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The function f(x) = (4-x^(2))/(4x-x^(3))...

The function `f(x) = (4-x^(2))/(4x-x^(3))` is

A

discontinuous at only one point

B

discontinuous exactly at two point

C

discontinuous exactly at three point

D

None of these

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OBJECTIVE RD SHARMA-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. The function f(x) = (4-x^(2))/(4x-x^(3)) is

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  2. Let f(x)=|x| and g(x)=|x^3| , then f(x) and g(x) both are continuous a...

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  3. The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuou...

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  4. The set of points where the function f9x)=x|x| is differentiable is (-...

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  5. On the interval I=[-2,2], the function f(x)={{:(,(x+1)e^(-((1)/(|x|)+(...

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  6. If f(x)={{:(,(|x+2|)/(tan^(-1)(x+2)),x ne -2),(,2, x=-2):}, then f(x) ...

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  7. Let f(x)=(x+|x|)|x| . Then, for all x f is continuous (b) f is differ...

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  8. The set of all points where the function f(x)=sqrt(1-e^(-x^2)) is di...

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  9. The function f(x) = e^(|x|) is

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  10. The function f(x)=[cos x] is

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  11. If f(x)=sqrt(1-sqrt(1-x^2)) , then f(x) is continuous on [-1, 1] an...

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  12. If f(x)=sin^(-1) ((2x)/(1+x^2)) then f(x) is differentiable on

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  13. If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x) is differentiable at x=0 the...

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  14. If f(x)=|x-a|varphi(x), where varphi(x) is continuous function, then f...

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  15. If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)++(x^2)/((1+x^2)^n)+ , then...

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  16. If f(x)= | log10x| then at x=1.

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  17. If f(x)=|log(e) x|,then

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  18. If f(x)=|log(e) |x||,"then "

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  19. Let f(x)={{:(,(1)/(|x|),"for "|x| gt1),(,ax^(2)+b,"for "|x| lt 1):} If...

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  20. Let h(x) = min {x, x^2}, for every real number of X. Then (A) h is con...

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