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If f(x) {:( =(sin 4x)/(5x)+a", if ...

If f(x) ` {:( =(sin 4x)/(5x)+a", if " x gt 0 ),(=x + 4 - b ", if " x le 0 ) :}` is continuous at x= 0 , then `a+ b - = ……`

A

`1/5`

B

3

C

`-14/5`

D

`16/5`

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The correct Answer is:
d
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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