Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
11.

The value of limnr = 1nr3r4 + n4 is

  • 12loge12

  • 14loge12

  • 14loge2

  • 12loge2


12.

The value of limx1x + x2 + ... + xn - nx - 1

  • n

  • n + 12

  • nn + 12

  • nn - 12


13.

limx0sinπsin2xx2 is equal to

  • π2

  • 3π

  • 2π

  • π


 Multiple Choice QuestionsShort Answer Type

14.

If N = n!(n n  N, n > 2, then find

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


Advertisement
15.

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


 Multiple Choice QuestionsMultiple Choice Questions

16.

The value of limx0sinx + cosx - 1x2

  • 1

  • 12

  • - 12

  • 0


17.

The value of limx01 + 5x21 + 3x21x2

  • e2

  • e

  • 1e

  • 1e2


18.

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

  • 35

  • - 35

  • 28

  • - 28


Advertisement
19.

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

  • 12

  • 14

  • 16

  • 18


20.

limx0sinxx is equal to 

  • 1

  • 0

  • positive infinity

  • does not exist


Advertisement