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  • Solve this problem - Limit , continuity and differentiability - JEE Main-8

\lim_{x\rightarrow 0^{+}}\frac{\left [ x \right ]}{x}   equals ([.]= GIF)

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best_answer

As we have learned

Right hand limit -

The right hand limit of  f(x) as 'x' tends to 'a' exists and is equal to  l1  if as  'x'  approaches 'a' through values greater than 'a'.
 

so\:\lim_{x\rightarrow a^{+}}f(x)=l_{1} 

- wherein

where  a+ means  a+h  &  h → 0  therefore f(a+h)

 

 As x\rightarrow 0^{+}[x]=0

\therefore \frac{[x]}{x}=\frac{0}{non -zero }=0

 

 

 

 

 


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