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Given the function f(x)=1/(x+2). Find th...

Given the function `f(x)=1/(x+2)`. Find the points of discontinuity of the function `f(f(x))`

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To find the points of discontinuity of the function \( f(f(x)) \) where \( f(x) = \frac{1}{x + 2} \), we will follow these steps: ### Step 1: Identify the function \( f(x) \) We start with the function: \[ f(x) = \frac{1}{x + 2} \] ...
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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Show that f(x)={((sin3x)/(tan2x) ,, if x<0),(3/2 ,, if x=0),((log(1+3...

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  2. Find all point of discountinuity of the function f(t) = (1)/(t^(2)...

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  3. Given the function f(x)=1/(x+2). Find the points of discontinuity of t...

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

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  5. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,x!=0. Find the value of f at x=0...

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  6. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be as...

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  7. The function f(x)=(x^3+x^2-16 x+20)/(x-2) is not defined for x=2. In o...

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  8. The value of b for which the function f(x)={5x-4,0xlt=1 , 4x^2+3b x...

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  9. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

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  10. If the function f(x) defined by f(x)=(log(1+3x)-"log"(1-2x))/x , x!...

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  11. Show that f(x)=5x-4 , 0< x < 1 f(x)=4x^3-3x , 1< x <2 continuous a...

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  12. If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous...

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  13. If f(x)=(1-sinx)/((pi-2x)^2),when x!=pi/2 and f(pi/2)=lambda, the ...

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  14. The value of k which makes f(x)={sinx/x ,x!=0, and k , ...

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  15. Show that the function f(x)=2x-|x| is continuous at x=0.

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  16. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at e...

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  17. Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0 Then, f(x) i...

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  18. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

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  19. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

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  20. Determine the value of the constant m so that the function f(x)={m(x^...

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