Question

Evaluate the function f(x) = [x -IxI ] where x = -2.8 and [ ] is the greatest integer function.

Answer 1

Answer:

REF.Image.

Given f(x)=[x]

x→k

lim

​  

f(x)=  

Let us consider lim  

x→k  

+

 

​  

f(x)=lim  

x→k  

+

 

​  

[x]=k

x→k  

−

 

lim

​  

f(x)=  

x→k  

−

 

lim

​  

[x]−k−1

∴  

x→k  

+

 

lim

​  

f(x)



=Ltf(x)

∴ Limit doesnot exist

Step-by-step explanation: