## Limits and Continuity: part 8: IITJEE Math: Tutorial Problems for Practice

Problem 1:

Evaluate:

Problem 2:

Evaluate:

Problem 3:

Evaluate:

Problem 4:

Evaluate:

Problem 5:

Evaluate:

Problem 6:

Evaluate:

Problem 7:

Evaluate:

Problem 8:

Evaluate:

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:

There is one of the four possible answers:

(i)

(ii)

(iii)

(iv)

Problem 29:

The values of A and B for f(x) to be continuous at where

when

when x=0 are

(i) (ii) (iii) (iv)

Problem 30:

If when

and when

Find the value of k for which f(x) is continuous at .

Regards,

Nalin Pithwa

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