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

The function `f(x)=(4-x^2)/(4x-x^3)` (a) discontinuous at only one point (b) discontinuous exactly at two points (c) discontinuous exactly at three points (d) none of these

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To determine the points of discontinuity for the function \( f(x) = \frac{4 - x^2}{4x - x^3} \), we will follow these steps: ### Step 1: Identify the function The function is given as: \[ f(x) = \frac{4 - x^2}{4x - x^3} \] ...
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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous...

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  2. Write the value of b for which f(x)={5x-4,when0 < x <= 1, 4x^2+3bx ,wh...

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  3. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

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  4. If f(x)=|x-a|varphi(x) , where\ varphi(x) is continuous function, t...

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  5. If f(x)=|(log)(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1...

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  6. If f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0 \ \ \ \k ,x=0 is...

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  7. If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...

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  8. If f(x)={(1-sinx)/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2))),x...

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  9. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

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  10. If f(x)={(log(1+a x)-log(1-b x))/x\ \ \ ,\ \ \ x!=0,\ \ \ \ \ \ \k\ \ ...

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  11. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 ...

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  12. Let f(x)={(x-4)/(|x-4|)+a ,x<4 \ \ \ \ \a+b , x=4 \ \ \ \ \ \ ,(x-4)/...

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  13. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

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  14. Let f(x)=|x|+|x-1|, then (a)f(x) is continuous at x=0, as well at ...

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  15. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|)\ \ \ \ ,\ \ \ x!=1,\ 1 6\ \ \ \ ...

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  16. If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sq...

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  17. If f(x)={m x+1\ \ \ ,\ \ \ xlt=pi/2,\ \ \ \ \ \sinx+n\ \ \ ,\ \ \ x >p...

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  18. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

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  19. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

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  20. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

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