Class 11 RD Sharma Solutions - Chapter 29 Limits - Exercise 29.5 | Set 2

Question 11. 

Solution:

Dividing numerator and denominator by x-a

Applying the formula here,  for numerator and  for denominator

Question 12. If , find the value of n.

Solution:

LHS = 

Applying the formula 

LHS = 

RHS = 108

LHS = RHS

Question 13. If , find all possible values of a.

Solution:

LHS=

Applying the formula 

LHS = 

RHS = 9

LHS = RHS

 a=1 and a=-1

Question 14. If , find all possible values of a.

Solution:

LHS = 

Applying the formula 

LHS = 

RHS = 405

LHS = RHS

a=3 and a=-3

Question 15. If , find all possible values of a.

Solution:

LHS=

Applying the formula 

LHS=

RHS=

LHS=RHS

a=1 and a=-1

Question 16. If , find all possible values of a.

Solution:

LHS=

Applying the formula 

LHS=

RHS=

LHS=RHS

 and