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Let f (x) be a polynomial satisfying lim...

Let `f (x)` be a polynomial satisfying `lim _(x to oo) (x ^(4) f (x))/( x ^(8) +1)=3`
`f (2) =5, f(3) =10, f (-1)=2, f (-6)=37`
The number of points of discontinuity of discontinuity of `f (x)= (1)/(x ^(2)+1 -f (x)) ` in` [(-15)/(2), (5)/(2)]` equals:

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Let f (x) be a polynomial satisfying lim _(x to oo) (x ^(4) f (x))/( x ^(8) +1)=3 f (2) =5, f(3) =10, f (-1)=2, f (-6)=37 The value of lim _(x to -6) (f (x) -x ^(2) -1)/(3 (x+6)) equals to:

Let f (x) be a polynomial satisfying lim _(x to oo) (x ^(4) f (x))/( x ^(8) +1)=3 f (2) =5, f(3) =10, f (-1)=2, f (-6)=37 The value of lim _(x to -6) (f (x) -x ^(2) -1)/(3 (x+6)) equals to:

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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  2. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  3. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  4. Let f :R to R be a continous and differentiable function such that f (...

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  5. Let f :R to R be a continous and differentiable function such that f (...

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  6. Let f :R to R be a continous and differentiable function such that f (...

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  7. Let f (x) (cos ^(2) x)/(1+ cos +cos ^(2)x )and g (x) lamda tan x+1(1-l...

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  8. Let f (x) = (cos ^(2) x)/(1+ cos x+cos ^(2)x )and g (x) =lamda tan x+(...

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  9. Population evolve to maximize their reproductive potential in the habi...

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  10. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  11. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  12. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  13. Suppose a function f(x) satisfies the following conditions f (x+y) =...

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  14. Suppose a function f(x) satisfies the following conditions f (x+y) =...

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  15. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

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  16. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

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  17. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

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  18. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

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  19. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

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  20. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

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