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If x = a, f(x) {:(=(x^(2))/a-a", if ...

If x = a, f(x) `{:(=(x^(2))/a-a", if " 0 lt x lt a ),(=0 ", if " x = a ),(= a - a^(3)/x^(2) ", if " x gt a ):}}` is

A

continuous

B

discontinuous

C

only left- continuous

D

only right continuous

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Verified by Experts

The correct Answer is:
a
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", i...

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  2. If f(x) {:(=x^(2)/a", if " 0 le x lt 1 ),(= a", ...

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  3. If x = a, f(x) {:(=(x^(2))/a-a", if " 0 lt x lt a ),(=0 ", ...

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  4. If f(x) {:(=(x^(3)+x^2-16x+20)/((x-2)^(2)) ", if " x!= 2 ), (=k ",...

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  5. If f(x) {:(= 2x - 1 ", if " x gt 2 ),(= 2k ", if " x = 2...

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  6. If f(x) (2^(x+2)-16)/(4^(x)-2^(4)), x != 2 is continuous at x = 2...

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  7. If f(x) =(1+sin x - cos x)/(1-sin x - cos x ), x != 0 , is continu...

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  8. f(x) {:(=(x^(2))/2" , if " 0 le x lt 1 ),(= ...

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  9. If f(x) {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x l...

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  10. Given f(x){:(= (sin [(2k-3)x])/(4x)", if " x lt0), (= k+1", ...

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  11. The value of f(0) so that f(x) = ((4^(x)-1)^(3))/(sin(x/4)log(1+(x^(...

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  12. lim(x to 0) (|x|)/x =

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  13. If f(x) {:( (1-cos(10x))/(x^(2)) ", if " x lt 0 ),(= a ...

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  14. If f(x) {:(=(log (1+3x )-log(1-2x))/x", if " x != 0 ),(=a", ...

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  15. If f(x) {:(=ax^(2)+b", if " 0 le x lt 1 ),(=x+3 ", if " 1 lt x...

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  16. If f(t) = 1/(t^(2)-t-6) and t = 1/(x-2) then the values of x which ma...

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  17. The value of f(0) that the function f(x) = ( root3 (1+x)-root 4 (...

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  18. The function f(x) = (x^(3)+x^(2)-16x+20)/(x-2) is not defined at x = 2...

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  19. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

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  20. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

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