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If f(x) is continuous at x = 0, where {:...

If f(x) is continuous at x = 0, where `{:(f(x),=(8^(x)-2^(x))/(k^(x)-1),",","for" x != 0),(,=k, ",","for" x = 0):}`, then k is equal to

A

2

B

-2

C

4

D

-4

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A
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

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  2. If f(x)=(3^(x)+3^(-x)-2)/(x^(2)) for x ne 0 is continuous at x = 0, i...

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  3. If f(x) is continuous at x = 0, where {:(f(x),=(8^(x)-2^(x))/(k^(x)-1)...

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  4. If f(x) is continuous at x=0, where f(x)=((e^(3x)-1)sin x^(@))/(x^(2))...

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  5. If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} ...

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  6. If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0...

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  7. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

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  8. If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is...

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  9. If {:(f(x),=(sec^2x)^(cot^2x),",",x != 0),(,=k, ",",x = 0):} is con...

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  10. If f(x) is continuous at x = (pi)/2, where f(x) = (sinx)^(1/(pi-2x)), ...

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  11. {:(f(x),=(log(1+kx))/(sin x),",",x != 0),(,=5, ",",x = 0):} If f is...

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  12. If {:(f(x),=(logx-log7)/(x-7),",",x != 7),(,=k, ",",x = 7):} is con...

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  13. If f(x) = {{:((log(1+2ax)-log(1-bx))/(x)",",x ne 0),(" "k",",...

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  14. {:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):...

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

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

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

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

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

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

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