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The value of a for which the function f...

The value of a for which the function `f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0` may be continuous at `x=0` is 1 (b) 2 (c) 3 (d) none of these

A

1

B

2

C

3

D

4

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The correct Answer is:
D
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. {:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):...

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  2. The value of f(0) so that the function f(x) = (log(sec^2 x))/(x sin x)...

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  3. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  4. f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x l...

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  5. If f(x) is continuous at x = 0 , where f(x) ={(x^2+a,",",x ge 0),(2sqr...

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  6. Find the values of a and b sucht that the function f defined by ...

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  7. The value of p and q for which the function f(x) = {((sin(p+1)x+sinx...

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  8. If f(x) ={(e^(1/x),",","when"x != 0),(1,",","when"x = 0):} , then

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  9. If f(x) ={((x^(4)-16)/(x-2),",","when"x != 2),(16,",","when"x = 2):} ,...

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  10. The function f(x) = (|3x-4|)/(3x-4) is discontinuous at

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  11. If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , the...

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  12. If {:(f(x),=(|x|)/(x),",","for" x != 0),(,=1, ",","for" x = 0):}, then...

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  13. The function (sinx)/(|x|)

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  14. If f(x) ={((x-|x|)/x,",","when"x != 0),(2,",","when"x = 0):} , then

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  15. Select the write the most appropriate answer from the given alternativ...

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  16. The function f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1),x ne 0),(,0,x=0):}

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  17. f(x) = (x^(2)+x-2)/(x^(2)-3x+2) is discontinuous at x =

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  18. The point at which the function f(x) = (x+1)/(x^(2)+x-12) is discontin...

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  19. The function f(x) = (4-x^(2))/(4x-x^(3)) is

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  20. If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt ...

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