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lim(x rarr 0)(x^(n) ln x), n gt 0...

`lim_(x rarr 0)(x^(n) ln x), n gt 0`

A

does not exist

B

exists and is zero

C

exists and is 1

D

exists and is `e^(-1)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
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  2. Let f:[1, 3] rarr RR be a continuous function that if differentiable ...

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  3. lim(x rarr 0)(x^(n) ln x), n gt 0

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  4. If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) th...

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  5. y = int cos {2 tan^(-1)sqrt((1-x)/(1+x))}dx is an equation of a family...

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  6. The value of the integration int(-pi//4)^(pi//4)(lambda| sin x| + (mu ...

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  7. The value of lim(x rarr 0)(1)/(x)[int(y)^(a) e^(sin^(2)t)dt - int(x+y)...

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  8. If int 2^(2^(x)).2^(x) dx = A.2^(2^(x)) + c, then A =

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  9. The value of the integral int(-1)^(1){(x^(2015))/(e^(|x|)(x^(2) + cos ...

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  10. lim(n rarr oo)(3)/(n){1+sqrt((n)/(n+3)) + sqrt((n)/(n+6)) + sqrt((n)/(...

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  11. The general solution of the differential equation (1+e^((x)/(y)))dx + ...

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  12. General solution of (x+y)^(2)(dy)/(dx) = a^(2), a ne 0 is (c is an arb...

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  13. Let P (4, 3) be a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^...

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  14. If the radius of a spherical balloon increases by 0.1%, then its volum...

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  15. The three sides of a right-angled triangle are in G.P (geometric progr...

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  16. If log(2)6 + (1)/(2x) = log(2)(2^((1)/(x)) + 8), then the values of x ...

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  17. Let z be a complex number such that the principal value of argument, a...

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  18. The general value of the real angle theta, which satisfies the equatio...

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  19. Let a, b, c be real numbers such that a + b + c lt 0 and the quadratic...

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  20. A candidate is required to answer 6 out of 12 questions which are divi...

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