Answer:
[tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
Step-by-step explanation:
We are given:
[tex]f(x)=\begin{cases} x^3 , x<2 , \ then \ \lim_{x \to 2^+} f(x)= \\ x-2, x>2\\\end{cases}\\[/tex]
Since the limit given is x-> 2⁺ so, values greater than 2 will be considered. So, we will consider f(x)=x-2 x>2
Putting x=2
f(x)=x-2
f(2)=2-2
f(2)=0
So, [tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
