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underset(x rarr oo)(lim) (x^(2))/(e^(x))...

`underset(x rarr oo)(lim) (x^(2))/(e^(x))` is

A

2

B

0

C

`oo`

D

1

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The correct Answer is:
B
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
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  2. The radius of a cylinder is increasing at the rate of 2 cm/sec and the...

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  3. underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

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  4. f is a differentiable function defined on an interval I with positive ...

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  5. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

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  6. The least possible perimeter of a rectangule of area 400 m^(2) is

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  7. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

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  8. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

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  9. Which of the following is concave down:

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  10. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  11. The velocity v of a particle moving along a straight line when at a di...

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  12. The value of c in Lagrange's mean value theorem for the function f(x) ...

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  13. The function f(x) = x^(2) is decreasing in

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  14. y = -e^(x) is

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  15. If f has a local extremum at a and if f'(a) exists then

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  16. A spherical snowball is melting in such a way that its volume is decre...

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  17. f(x) = sqrtx, a = 1, b = 4 find c in Lagrange's mean value theorm:

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  18. The point of curve y= 2x^(2) - 6x -4 at which the tangent is paral...

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  19. The curve y = 3e^(x) and y = (a)/(3) e^(-x) intersect orthogonally if ...

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  20. f'(x) = x^(2) - 5x + 4 then f(x) is decreasing in

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