Q. 25.0( 4 Votes )

Evaluate the following limits:


Answer :

As we need to find


We can directly find the limiting value of a function by putting the value of the variable at which the limiting value is asked if it does not take any indeterminate form (0/0 or ∞/∞ or ∞-∞, .. etc.)


Let Z =


we need to take steps to remove this form so that we can get a finite value.


Note: While modifying be careful that you don’t introduce any zero terms in the denominator


As





Z =


{Using basic limits algebra}



(1- 2sin2x) = cos 2x




As, a2 – b2 = (a+b)(a-b)


Z =


Now put the value of x, we have-


Z =


Hence,



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics

Evaluate the following limits:

RD Sharma - Mathematics