Important Questions of Limits and Derivatives Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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31.

If N = n!(n n  N, n > 2, then find

limNlog2N- 1 + log3N- 1 + ... + lognN- 1


32.

Use the formula limx0ax - 1x = logea to compute limx02x - 11 + x - 1


 Multiple Choice QuestionsMultiple Choice Questions

33.

The value of limx0sinx + cosx - 1x2

  • 1

  • 12

  • - 12

  • 0


34.

The value of limx01 + 5x21 + 3x21x2

  • e2

  • e

  • 1e

  • 1e2


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35.

If f(5)=7 and f'(5)=7 then limx5xf(5) - 5fxx - 5 is given by

  • 35

  • - 35

  • 28

  • - 28


36.

The value of f(0) so that the function 1 - cos1 - cosxx4 is continuous everywhere is

  • 12

  • 14

  • 16

  • 18


37.

limx0sinxx is equal to 

  • 1

  • 0

  • positive infinity

  • does not exist


38.

If y = tan-11 - sinx1 + sinx, then the value of dydx at x = π6 is

  • 12

  • 12

  • 1

  • - 1


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39.

The value of the limit limx1sinex - 1 - 1logx

  • 0

  • e

  • 1e

  • 1


40.

Let f(x) = x + 3x + 1, then the value of limx- 3 - 0fx is

  • 0

  • does not exist

  • 12

  • - 12


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