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Let f(x) = {((1-cos 4x)/(x^(2))",",x lt ...

Let `f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sqrt(16+sqrt(x)-4))",",x gt 0):}` Then, the value of a if possible, so that the function is continuous at x = 0, is……….

A

8

B

-8

C

4

D

16

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A
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. If f(x) = (tan(x^(2)-x))/(x), x != 0, is continuous at x = 0, then f(0...

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  2. Function f(x) = (1-cos 4x)//(8x^(2)), " where " x != 0 , and f(x) = k...

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  3. Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sq...

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  4. {:(f(x),=(1-cos 3x)/(x tan x),",","for" x != 0),(,=k, ",","for" x = 0)...

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  5. For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi...

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  6. If {:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = ...

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  7. f:R->R is defined by f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0 and f ...

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  8. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

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  9. If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi...

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  10. If f(x)=(1-sinx)/((pi-2x)^2),w h e nx!=pi/2a n df(pi/2)=lambda, the f(...

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  11. If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0, then the value o...

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  12. If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x ...

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  13. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

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  14. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

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  15. If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0, is continuous at x = 0...

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  16. If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x !=...

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  17. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

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

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

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

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