## Limits and Continuity: part 7: IITJEE math: Tutorial Problems for Practice

Problem 1:

Find the value of the following limit:

Problem 2:

Find the value of the following limit:

Problem 3:

Find the value of the following limit:

Problem 4:

Find the value of the following limit:

Problem 5:

Find the value of the following limit:

Problem 6:

Find the value of the following limit:

Problem 7:

Find the following limit: where

Problem 8:

Evaluate: , where

Problem 9:

Evaluate:

Problem 10:

Evaluate:

Problem 11:

Evaluate:

Problem 12:

Evaluate:

Problem 13:

Evaluate:

Problem 14:

Evaluate:

Problem 15:

Evaluate:

Problem 16:

Evaluate:

Problem 17:

Evaluate:

Problem 18:

Evaluate:

Problem 19:

Evaluate:

Problem 20:

Evaluate:

Problem 21:

Evaluate:

Problem 22:

Evaluate:

Problem 23:

Evaluate:

Problem 24:

Evaluate:

Problem 25:

Evaluate:

Problem 26:

Evaluate:

Problem 27:

Evaluate:

Problem 28:

Evaluate:

Problem 29:

Evaluate:

Problem 30:

Evaluate :

Problem 31:

Evaluate:

Problem 32:

Evaluate:

Problem 33:

Evaluate:

Problem 34:

Evaluate:

Problem 35:

Evaluate:

Problem 36:

Evaluate:

Problem 37:

Evaluate: . Then, (i) (ii) (iii) (iv)

Problem 38:

Evaluate:

Problem 39:

Evaluate:

Problem 40:

Evaluate:

Problem 41:

Evaluate:

Problem 42:

Evaluate:

Problem 43:

Evaluate:

Problem 44:

Evaluate:

Problem 45:

Evaluate:

Problem 46:

Evaluate:

Problem 47:

Evaluate:

Problem 48:

Evaluate:

Problem 49:

Evaluate:

Problem 50:

Evaluate:

Regards,

Nalin Pithwa

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