Class 11 RD Sharma Solutions – Chapter 29 Limits – Exercise 29.5 | Set 1

Evaluate the following limits:

Question 1. 

Solution:

Let y = x + 2 and b = a + 2

 [using formula ]

Question 2. 

Solution:

Let y=x+2 and b=a+2

 [using formula ]

Question 3. 

Solution:

Dividing the numerator and denominator with 1+x-1

Let y=1+x as 

 [using formula ]

Question 4. 

Solution:

Applying the formula , here, 

Question 5. 

Solution:

Dividing the numerator and denominator with x-a

Applying the formula , here,  in numerator and  in denominator 

Question 6. 

Solution:

Applying the formula  here, and 

Question 7. 

Solution:

Applying the formula 

Question 8. 

Solution: 

Dividing the numerator and denominator with x-4

Applying the formula here, n=3 in numerator and n=2 in denominator 

Question 9. 

Solution

Dividing the numerator and denominator with x-1

Applying the formula here, 

n=15 in numerator and n=10 in denominator

Question 10.

Solution:

Applying the formula