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If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",...

If `f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3x-2,",","for" 0 le x le1):}`

A

-1

B

-2

C

-3

D

-4

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B
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If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(2)+3x-2", if "0 le x le 1):} is continuous at x = 0 , then k = ….

If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k is

If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2)",", 0 le x le 1):} is continuous in [-1,1] then p is equal to

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .

Let f(x)={{:((sqrt(1+ax)-sqrt(1-ax))/x ,","-1 le x lt 0),((2x+1)/(x-2), "," 0 le x le 1):} The value of a so f is continuous on [-1,1] is

If f(x) {: (=(sqrt(1+px) - sqrt(1- px))/x", if "-1/2 le x lt 0 ),(= 3x^(2) + 2x - 2 ", if " 0 le x lt 1 ):} is continuous on its domain , then : p =

f(x)={((sqrt(1+px)-sqrt(1-px))/(x),,,-1 le x lt 0),((2x+1)/(x-2),,,0le x le 1):} is continuous in the interval [-1,1], then p equals :

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  2. If f(x) is continuous in [-2, 2], where f(x)={:{(x+a", for " x lt 0)...

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  3. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3...

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  4. If the function f:R to R given by f(x)={(x+a"," , "if "x le 1),(3...

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  5. If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " ...

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  6. If the function and the derivative of the function f(x) is everywhere ...

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  7. If f(x) is continuous at x=2, where f(x)={:{(4x-3", for " x lt 2),(kx...

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  10. If f(x) = (sin pi x)/(x-1)+a, " for " x lt 1 = 2 pi , " for " x= 1 ...

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  11. If f(x) and f'(x) are continuous at x=pi/6, where f(x)={:{(sin 2x", i...

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  12. If f(x) is continuous at x=0, where f(x)={:{((sin (a+1)x+sin x)/(x)",...

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  13. If f(x) is continuous at x=0, where f(x)={:{((sin (a+1)x+sin x)/(x)",...

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  14. If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for...

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  15. The values of a and b so that the function f(x) = {{:(x + a sqrt(2) si...

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  16. If f(x) is continuous over [-pi, pi], where f(x) is defined as f(x) ...

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  17. If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", f...

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  18. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

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  19. If f(x)={(ax+1",", x le (pi)/(2)),(sinx+b",", x gt (pi)/(2)):} is cont...

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  20. If f(x)={:{((e^(1/x)-1)/(e^(1/x)+1)", for " x !=0),(1", for " x=0):}, ...

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