Limits vsaqs questions and solutions

Limits (Q’s & Ans) || V.S.A.Q’S||

Limits  V.S.A.Q’S

Limits (Q’s & Ans) || V.S.A.Q’S|| designed by the ‘Basics in Maths‘ team. These notes to do help the intermediate First-year Maths students.

Inter Maths – 1B two-mark questions and solutions are very useful in IPE examinations.


 

Limits

Question 1

Find Limits 2

Sol:

Limits 1

= 9

Question 2

Compute Limits 3

Sol:

Limits 4

= a + a = 2a

Question 3

compute Limits 5 

Sol:

Limits 6

Question 4

Show thatLimits 7 = 1and Limits 8 = –1

Sol:

we know that if x > 0

                            Limits 9= –x if x < 0

As x → 0+ ⟹ x > 0

Limits 9 = x

Limits 10 =  1

As x → 0+ ⟹ x < 0

Limits 9 = –x

Limits 11  = –1

Question 5

If f (x) = Limits 12, then find Limits 13andLimits 14 . Does Limits 15 exist?

Sol:

Limits 16

 

Question 6

TS Inter 1st Year Maths 1B QP 2025
TS Inter 1st Year Maths 1B Question Papers 2025

Show that Limits 17= –1

Sol:

As x → 2– ⟹ x < 2

   x – 2 < 0

 ⟹  Limits 18 < 0

  Limits 19

Question 7

Compute Limits 20andLimits 21

Sol:

As x → 2+ ⟹ x > 2

  ⟹ Limits 22 = 2

Limits 23=                          

As x → 2– ⟹ x < 2

  ⟹ Limits 22 = 1

Limits 24

Question 8

Find Limits 25

Sol:

Limits 26

Question 9

Compute Limits 27

Sol:

Limits 28

 

Question 10

Show that Limits 29

Sol:

Limits 30

Question 11

Compute Limits 31

Sol:

Limits 32

Question 12

TS Inter 1st Year Maths 1A QP 2025
TS Inter 1st Year Maths 1A Question Papers 2025

Compute Limits 33

Sol:

Limits 34

Question 13

Evaluate Limits 35

Sol:

let y = x – 1 ⟹ x = y + 1

then as x → 1, y → 0

Limits 36

Question 14

Compute Limits 37

Sol:

Limits 38

Question 15

Compute Limits 39

Sol:

Limits 40

https://www.basicsinmaths.com/inter-mathematics-1a-and-1b-pdf-files/

 

 

Question 16

ComputeLimits 41

Sol:

Limits 42 

     As x → ∞,  →0

Limits 43

                      = ∞ (3/4)

                      = ∞

Question 17

Compute Limits 44

Sol:

We know that – 1 ≤ sin x ≤ 1

x2 – 1 ≤ x2 – sin x ≤ x2 + 1

Ts Inter Maths 2B Practice Qeustion Papers_20250127_173942_0000
TS Inter 2nd Year Maths 2B Question Papers 2025

Limits 45

Question 18

Find Limits 46

Sol:

Limits 47

Question 19

Find Limits 49

Sol:

Limits 48

Question 20

Find Limits 50

Sol:

Limits 51

 

 

Question 21

Find Limits 52

Sol:  

Limits 53

Question 22

Compute Limits 54

Sol:  

Limits 55

Question 23

ComputeLimits 56

Sol:

Limits 57


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