Question

PLS EXPLAIN WHY .. and how steps

Answer 1

`\lim_(x \to 2^+) f(x)=0`

Option C is correct option.

Explanation:

We are given:

`f(x)=\begin{cases} x^3 , x<2 , \ then \ \lim_(x \to 2^+) f(x)= \\ x-2, x>2\\\end{cases}\\`

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,
`\lim_(x \to 2^+) f(x)=0`

Option C is correct option.