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Let f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^...

Let `f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^(3) + 3x^(2)-7`. Then `underset(h rarr 0)("lim") (f(1-h)- f(1))/(h^(3) + 3h)`

A

does not exist

B

is `(50)/(3)`

C

is `(53)/(3)`

D

is `(22)/(3)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. The domain of definition of f(x)= sqrt((1-|x|)/(2-|x|)) is Here (a, ...

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  2. Let f : [a, b] rarr R be differentiable on [a, b] & k in R. Let f(a)= ...

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  3. Let f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^(3) + 3x^(2)-7. Then underset(...

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  4. Let f: [a, b] rarr R be such that f is differentiable in (a,b). f is c...

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  5. Let f: R rarr R be a twice continuously differentiable function such t...

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  6. If int e^(sin x) [(x cos^(3)x - sin x)/(cos^(2)x)] dx= e^(sin x).f(x) ...

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  7. If int f(x) sin x cos x dx= (1)/(2(b^(2)-a^(2))) log f(x) + c, where c...

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  8. If M= underset(0)overset(pi//2)int (cos x)/(x +2) dx, N= underset(0)ov...

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  9. The value of the integral I= underset(1/2014)overset(2014)int (tan^(-1...

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  10. Let I= underset(pi /4)overset(pi /3)int (sin x)/(x) dx. Then

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  11. The value of I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x))...

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  12. The value of underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) ...

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  13. The differential equation representing the family of curves y^(2)= 2d(...

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  14. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

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  15. The law of motion of a body moving along a straight line is x= (1)/(2)...

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  16. Find the equation of tangents at the point (1,2) of y= x^(2)

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  17. Given that n numbers of A.Ms are inserted between two sets of numbers ...

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  18. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then the value of ...

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  19. If Z(r )= "sin" (2pi r)/(11)- "I cos" (2pi r)/(11) then underset(r = 0...

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  20. If z(1) and z(2) be two non zero complex numbers such that (z(1))/(z(2...

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