limit at infinity

2
 Most of the students have problem about limit at infinity: Please read this po rtion carefully. T his will be applicable for rational function lim  x ±  p (  x ) q (  x )  where p(x) is called numerator and q(x) is ca lled denominator. As for example  x 3 +2  x 2 +1  here  p (  x ) = x 3 +2  and de!ree of p(x) " # q ( x )= x 2 +1  and de!ree of q(x) " $. %o usin! this procedure (which is shown be low) do all other mathematics.

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Page 1: Limit at Infinity

7/18/2019 Limit at Infinity

http://slidepdf.com/reader/full/limit-at-infinity 1/2

Most of the students have problem about limit at infinity:

Please read this portion carefully. This will be applicable for rational function lim x→±∞

 p( x)q( x )  

where p(x) is called numerator and q(x) is called denominator.

As for example x

3+2

 x2

+1 here  p ( x )= x

3+2  and de!ree of p(x) " # q ( x )= x

2+1  and

de!ree of q(x) " $.

%o usin! this procedure (which is shown below) do all other mathematics.

Page 2: Limit at Infinity

7/18/2019 Limit at Infinity

http://slidepdf.com/reader/full/limit-at-infinity 2/2