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Let `f(x)` be a differentiable function and `f'(4)=5`. Then `lim_(x to 2) (f(4) -f(x^(2)))/(x-2)` equals

A

0

B

5

C

20

D

`-20`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
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  3. Let f(x) be a differentiable function and f'(4)=5. Then lim(x to 2) (f...

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  4. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

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  5. Let I denote the 3xx3 identity matrix and P be a matrix obtained by ...

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  6. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

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  7. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

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  8. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

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  9. Let [x] denote the greatest integer less than or equal to x for any re...

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  10. Suppose that f(x) is a differentiable function such that f'(x) is con...

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  11. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

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  12. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

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  15. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

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  17. A fair six-faced die is rolled 12 times. The probability that each fac...

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  18. If alpha, beta are the roots of the quadratic equation x^(2)+px+q=0, t...

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  19. The solution of the differential equation (dy)/(dx)+(y)/(x log(e )x)...

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  20. Let f(x) = max {x+|x|, x-[x]}, where [x] denotes the greatest integer ...

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