Question

(Instructions: Section consists of long answer questions. Answer she
000 words. All questions are compulsory.
1. How many relations can be defined in a set containing 10 elements? If A
then write down the smallest and biggest reflexive relations in the set A.
2. Prove that f. X → Yis injective iff f'(})= {x} ty ef (w), and some xex
3. If limz-a f(0) = 1 then show that lim-f(x)} = 11
(Hint: Use f(x) -|| 2||f(x) - 11D
ब
on-B
अधिकतम
Maxim
(Instructions): Section B consists of short answer questions. Answer sh
words. All questions are compulsory.
1 -1
ex-ex
4. Show that limx-0 does not exist.
ertex​

Answer 1

Answer:

(Instructions: Section consists of long answer questions. Answer she

000 words. All questions are compulsory.

1. How many relations can be defined in a set containing 10 elements? If A

then write down the smallest and biggest reflexive relations in the set A.

2. Prove that f. X → Yis injective iff f'(})= {x} ty ef (w), and some xex

3. If limz-a f(0) = 1 then show that lim-f(x)} = 11

(Hint: Use f(x) -|| 2||f(x) - 11D

ब

on-B

अधिकतम

Maxim

(Instructions): Section B consists of short answer questions. Answer sh

words. All questions are compulsory.

1 -1

ex-ex

4. Show that limx-0 does not ex