The value of limn→∞1n3∑k=1nk2x is from

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 Multiple Choice QuestionsMultiple Choice Questions

91.

limxπ6 3sinx - 3cosx6x - π is equal to :

  • 3

  • 13

  • 13

  • - 13


92.

If a > 0, limxa ax - xaxx - aa = - 1, then a is equal to :

  • 0

  • 1

  • e

  • 2e


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93.

The value of limn1n3k=1nk2x is

  • x

  • x2

  • x3

  • x4


C.

x3

limn1n3k=1nk2x= xlimn1nk=1nkn2= x01x2dx = xx3301= x3


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94.

If f: R  R is an even function having derivatives of all orders, then an odd function among the following is

  • f''

  • f'''

  • f' + f''

  • f'' + f'''


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95.

If x > 0, xy = ex - y, then dydx is equal to

  • 11 + logx2

  • logx1 + logx2

  • logx1 + logx22

  • logx21 + logx


96.

limx0 x2sinπx is equal to

  • 1

  • 0

  • does not exist


97.

If 0 < p <q, then limnqn + pn1n = ?

  • e

  • p

  • q

  • 0


98.

limxx2 + 2x - 1 - x = ?

  • 12

  • 4

  • 1


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99.

If l1 = limx2 + x + x, l2 = limx2 - 2x - x and l3 = limxπ2cosxx - π2, then :

  • l1 < l2 < l3

  • l2 < l3 < l1

  • l3 < l2 < l1

  • l1 < l3 < l2


100.

If limx0cos4x + acos2x + bx4 is finite, then the values of a, b are respectively :

  • 5, - 4

  • - 5, - 4

  • - 4, 3

  • 4, 5


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