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The inverse of the function f:Rto range ...

The inverse of the function `f:Rto` range of f, defined by `f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))` is

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. f+g may be a continuous function, if (a) f is continuous and g is disc...

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  2. The value of f(0) such that f(x)=((1+tanx)/(1+sinx))^(cosecx) can be m...

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  3. The inverse of the function f:Rto range of f, defined by f(x)=(e^(x)-e...

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  4. If f(x)={((sin([x]+x))/([x]+x),x!=0),(1,x=0):} when [.] denotes the gr...

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  5. In x epsilon(0,1),f(x)=[3x^(2)+1], where [x] stands for the greatest i...

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  6. If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (...

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  7. The set of points of discontinuity of the function f(x)=(1)/(log|x|),i...

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  8. Which of the following function has finite number of points of ...

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

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  10. If f(x)=(x-e^(x)+cos2x)/(x^(2)) where x!=0, is continuous at x=0 then ...

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  11. The value(s) of x for which f(x)=(e^(sinx))/(4-sqrt(x^(2)-9)) is conti...

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  12. Which of the following function(s) defined at x = 0 has/have removable...

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  13. Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...

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  14. The function f(x) = (4-x^(2))/(4x-x^(3)) is discontinuous at

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  15. If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 then points of discontinuity of ...

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  16. If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...

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  17. Prove that the function If f(x)={:{((x)/(1+e^(1//x)) ", " x ne 0),(" ...

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  18. If f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),x!=2),(0,x=2):} then f(x) at x...

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  19. If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} ...

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  20. f(x)={(|2x-3|[x],0lexle2),(x^(2)/2,2ltxle3):}. If f(x) is defined in (...

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