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Value of f(0) so that f(x)` = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x != 0 ` , is continuous at x = 0 is

A

`-4`

B

1

C

2

D

`-2`

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

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

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

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

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

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

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

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

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

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

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  11. If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if...

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  12. If f(x) {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x ...

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  13. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

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  14. Given f(x) {:(=x^(2)+a", if "x le 0 ),(= 2 sqrt(...

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  15. If f(x) {:( =(sin 4x)/(5x)+a", if " x gt 0 ),(=x + 4 - b ", ...

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  16. If f(x) {:(=x+a", if " x lt 0 ),(= x ", if " 0 le x ...

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

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

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

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

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