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PLS EXPLAIN WHY .. and how steps

PLS EXPLAIN WHY .. and how steps-example-1

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3 votes

Answer:


\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.

User Laurens Swart
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