Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $f(x)=\left\{\begin{matrix}x+2&,&x≥2\\3.99999&,&x<2\end{matrix}\right.$ then which option is wrong

Options:

$\underset{x→2}{\lim}f(x)=4$

$\underset{x→2^+}{\lim}f(x)=4$

$\underset{x→2^-}{\lim}f(x)=3.99999$

$\underset{x→2^+}{\lim}f(x)≠\underset{x→2^-}{\lim}f(x)$

Correct Answer:

$\underset{x→2}{\lim}f(x)=4$

Explanation:

$\underset{x→2^+}{\lim}f(x)=\underset{x→2^+}{\lim}(x+2)=4$

$\underset{x→2^-}{\lim}f(x)=\underset{x→2^-}{\lim}(3.99999)=3.99999$