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If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x...

If `f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 ` is continuous at x = 3 , then f(3) = ….

A

`-4`

B

`1/4`

C

`-1/4`

D

4

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The correct Answer is:
b
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. f(x) = {:((sqrt(x+3)-2)/(x^(3)-1)", if " x!=1),(=1/12", if " ...

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  2. If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(...

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  3. If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 ...

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  4. Function f(x) = sqrt(9-x^(2)) is continuous in

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  5. Function f(x) = (x-2)/(x^(2)-5x+6) is discontinuous at x = …..

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  6. Function f(x) = 1/(2x^(2)+x+1) is

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  7. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

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  8. If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", ...

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  9. If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", ...

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  10. If f(x) (10^(x)+7^(x)-14^(x)-5^(x))/(1-cos x), x != 0 is continuous ...

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  11. If f(x) = {:(a^(2)sin^(2)x+e^(2) cos^(2)x", if " x le 0 ),(=e^(ax+b...

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  12. Value of a so that f(x) = (sin^(2)ax)/(x^(2)), x != 0 and f(0) = 1 ...

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  13. Value of f(0) so that f(x) = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x !...

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  14. At x = 0 , f(x) {:(=x-2", if " x lt 0 ),(= 1//2", if " x = 0...

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  15. If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", ...

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  16. Function f(x)={{:(2x-1", if "x le 1 ),(x^(2)", if "1 ...

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  17. If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 )...

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  18. If f(x) {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1...

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  19. If f(x) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ...

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  20. If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...

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