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If f(x) {:(=3x-4", if " 0 le x le ...

If f(x) ` {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x le 3 ):}` is continuous x = 2 , then k = `……`

A

`-1`

B

`-2`

C

`-3`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
b
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
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  3. If f(x) {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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