Question

lim X trends to infinity 2x²-x+3/x²-2x+5​

Answer 1

Step-by-step explanation:

lim

​  

 

x  

3

−3x  

2

+2

x  

7

−2x  

5

+1

​  

 

on differentiating both numertor & denomitator w.r.t x we get

⇒  

x→1

lim

​  

 

dx

d

​  

(x  

3

−3x  

2

+2)

dx

d

​  

(x  

7

−2x  

5

+1)

​  

 

⇒  

x→1

lim

​  

 

3x  

2

−6x

7x  

6

−10x  

4

 

​  

 

on putting limit we get

⇒  

3(1)  

2

−6(1)

7(1)  

6

−10(1)  

4

 

​  

     

3−6

7−1

​  

 

=  

−3

−3

​  

   =1

Hence  

x→1

lim

​  

 

x  

3

−3x  

2

+2

x  

7

−2x  

5

+1

​  

 

=1

Hence  

x→1

lim

​  

 

x  

3

−3x  

2

+2

x  

7

−2x  

5

1

​  

=1.