limx→0 1 - cos2x3 + cosxxtan4x = ?  | Limits and Derivatives

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 Multiple Choice QuestionsMultiple Choice Questions

111.

limn1k + 2k + 3k + ... + nknk + 1 = ?

  • 1k

  • 2k + 1

  • 1k + 1

  • 2k


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112.

limx0 1 - cos2x3 + cosxxtan4x = ? 

  •  - 14

  • 12

  • 1

  • 2


D.

2

d Consider,limx0 1 - cos2x3 + cosxxtan4x= limx0 2sin2x3 + cosxxtan4x= 2limx0 sin2xx limx04xtan4x limx03 + cosx= 2 1 . 14limx04xtan4x3 + 1= 2 1 14 1 4 = 2


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113.

An angle between the curves x2=3y and x2 + y2 = 4 is

  • tan-153

  • tan-153

  • tan-123

  • π3


 Multiple Choice QuestionsShort Answer Type

114.

If limx1x +x2 + x3 +... + xn - nx - 1 = 820, n  N then the value of n =?


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 Multiple Choice QuestionsMultiple Choice Questions

115.

limx0tanπ4 + x1x = ?

  • 2

  • 1

  • e

  • e2


 Multiple Choice QuestionsShort Answer Type

116.

limx01 - cosx221 - cosx24x8 = 2 - k, find k


117.

The value of 0 . 16log2 . 513 + 132 + 133 + ...  is


 Multiple Choice QuestionsMultiple Choice Questions

118.

limxaa + 2x13 - 3x133a + x13 - 4x13 a  0 = ?

  • 292313

  • 2343

  • 2943

  • 232913


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119.

Let f : 0,   0,  be a differentiable function such that f(1) = e and limtx t2f2x - x2f2tt - x. If f(x) = 1, then x is equal to

  • 1e

  • 2e

  • 12e

  • e


120.

limx0xe1 + x2 + x4 - 1/x - 11 + x2 + x4 - 1

  • does not exist

  • is equal to 1

  • is equal to e

  • is equal to 0


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